214894620000 has 960 divisors, whose sum is σ = 842434084800. Its totient is φ = 53934336000.

The previous prime is 214894619993. The next prime is 214894620007. The reversal of 214894620000 is 26498412.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

214894620000 is a `hidden beast` number, since 21 + 4 + 8 + 9 + 4 + 620 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (214894619993) and next prime (214894620007).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 7650 × 4590 × 6120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214894620007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12640859992 + ... + 12640860008.

It is an arithmetic number, because the mean of its divisors is an integer number (877535505).

Almost surely, 2^214894620000 is an apocalyptic number.

214894620000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214894620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421217042400).

214894620000 is an abundant number, since it is smaller than the sum of its proper divisors (627539464800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214894620000 is an frugal number, since it uses more digits than its factorization.

214894620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 214894620000 in words is "two hundred fourteen billion, eight hundred ninety-four million, six hundred twenty thousand".