214391931264 has 1152 divisors, whose sum is σ = 801320364000. Its totient is φ = 54623600640.

The previous prime is 214391931233. The next prime is 214391931307. The reversal of 214391931264 is 462139193412.

214391931264 is a `hidden beast` number, since 2 + 1 + 439 + 1 + 93 + 126 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×214391931264² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1897273672 + ... + 1897273784.

Almost surely, 2^214391931264 is an apocalyptic number.

214391931264 is a gapful number since it is divisible by the number (24) 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 214391931264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400660182000).

214391931264 is an abundant number, since it is smaller than the sum of its proper divisors (586928432736).

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

214391931264 is a wasteful number, since it uses less digits than its factorization.

214391931264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 234 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The spelling of 214391931264 in words is "two hundred fourteen billion, three hundred ninety-one million, nine hundred thirty-one thousand, two hundred sixty-four".