214187473920 has 352 divisors, whose sum is σ = 786441024000. Its totient is φ = 48737746944.

The previous prime is 214187473909. The next prime is 214187473931. The reversal of 214187473920 is 29374781412.

214187473920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (214187473909) and next prime (214187473931).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 214187473920.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24617731 + ... + 24626429.

Almost surely, 2^214187473920 is an apocalyptic number.

214187473920 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 214187473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393220512000).

214187473920 is an abundant number, since it is smaller than the sum of its proper divisors (572253550080).

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

214187473920 is a wasteful number, since it uses less digits than its factorization.

214187473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8963 (or 8945 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 214187473920 in words is "two hundred fourteen billion, one hundred eighty-seven million, four hundred seventy-three thousand, nine hundred twenty".