232251404725152 has 144 divisors (see below), whose sum is σ = 666912845027520. Its totient is φ = 76661933300736.

The previous prime is 232251404725111. The next prime is 232251404725283. The reversal of 232251404725152 is 251527404152232.

232251404725152 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 51 + 40 + 47 + 2 + 515 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×232251404725152² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232251404725098 and 232251404725107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73111924 + ... + 76222412.

It is an arithmetic number, because the mean of its divisors is an integer number (4631339201580).

Almost surely, 2^{232251404725152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232251404725152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333456422513760).

232251404725152 is an abundant number, since it is smaller than the sum of its proper divisors (434661440302368).

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

232251404725152 is a wasteful number, since it uses less digits than its factorization.

232251404725152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113035 (or 3113024 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 45.

Adding to 232251404725152 its reverse (251527404152232), we get a palindrome (483778808877384).

The spelling of 232251404725152 in words is "two hundred thirty-two trillion, two hundred fifty-one billion, four hundred four million, seven hundred twenty-five thousand, one hundred fifty-two".