214556116400 has 120 divisors (see below), whose sum is σ = 539608572960. Its totient is φ = 81827665920.

The previous prime is 214556116393. The next prime is 214556116421. The reversal of 214556116400 is 4611655412.

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 23 ways as a sum of consecutive naturals, for example, 2842346 + ... + 2916854.

It is an arithmetic number, because the mean of its divisors is an integer number (4496738108).

Almost surely, 2^214556116400 is an apocalyptic number.

214556116400 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 214556116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269804286480).

214556116400 is an abundant number, since it is smaller than the sum of its proper divisors (325052456560).

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

214556116400 is a wasteful number, since it uses less digits than its factorization.

214556116400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74863 (or 74852 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The spelling of 214556116400 in words is "two hundred fourteen billion, five hundred fifty-six million, one hundred sixteen thousand, four hundred".