214056252324 has 36 divisors (see below), whose sum is σ = 541100736540. Its totient is φ = 71350224960.

The previous prime is 214056252299. The next prime is 214056252337. The reversal of 214056252324 is 423252650412.

214056252324 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 5 + 625 + 2 + 3 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127277697600 + 86778554724 = 356760^2 + 294582^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2479762 + ... + 2564630.

It is an arithmetic number, because the mean of its divisors is an integer number (15030576015).

Almost surely, 2^214056252324 is an apocalyptic number.

It is an amenable number.

214056252324 is an abundant number, since it is smaller than the sum of its proper divisors (327044484216).

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

214056252324 is a wasteful number, since it uses less digits than its factorization.

214056252324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154940 (or 154935 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 214056252324 in words is "two hundred fourteen billion, fifty-six million, two hundred fifty-two thousand, three hundred twenty-four".