214949998309200 has 3840 divisors, whose sum is σ = 983996485337088. Its totient is φ = 38717521920000.

The previous prime is 214949998309187. The next prime is 214949998309201. The reversal of 214949998309200 is 2903899949412.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214949998309201) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 314714492059 + ... + 314714492741.

Almost surely, 2^{214949998309200} is an apocalyptic number.

214949998309200 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 214949998309200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491998242668544).

214949998309200 is an abundant number, since it is smaller than the sum of its proper divisors (769046487027888).

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

214949998309200 is a wasteful number, since it uses less digits than its factorization.

214949998309200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 90699264, while the sum is 69.

The spelling of 214949998309200 in words is "two hundred fourteen trillion, nine hundred forty-nine billion, nine hundred ninety-eight million, three hundred nine thousand, two hundred".