234375627172752 has 150 divisors (see below), whose sum is σ = 734545826199042. Its totient is φ = 72115577524224.

The previous prime is 234375627172733. The next prime is 234375627172811. The reversal of 234375627172752 is 257271726573432.

234375627172752 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 7 + 562 + 7 + 17 + 2 + 7 + 52 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 34027342223616 + 200348284949136 = 5833296^2 + 14154444^2 .

It is a super-2 number, since 2×234375627172752² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 234375627172752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 534826513 + ... + 535264560.

Almost surely, 2^{234375627172752} is an apocalyptic number.

It is an amenable number.

234375627172752 is an abundant number, since it is smaller than the sum of its proper divisors (500170199026290).

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

234375627172752 is a wasteful number, since it uses less digits than its factorization.

234375627172752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070091119 (or 1070091091 counting only the distinct ones).

The product of its digits is 207446400, while the sum is 63.

The spelling of 234375627172752 in words is "two hundred thirty-four trillion, three hundred seventy-five billion, six hundred twenty-seven million, one hundred seventy-two thousand, seven hundred fifty-two".