232523626325232 has 480 divisors, whose sum is σ = 686887403892480. Its totient is φ = 67681011200000.

The previous prime is 232523626325171. The next prime is 232523626325257.

232523626325232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×232523626325232² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4305089107 + ... + 4305143117.

It is an arithmetic number, because the mean of its divisors is an integer number (1431015424776).

Almost surely, 2^{232523626325232} is an apocalyptic number.

232523626325232 is a gapful number since it is divisible by the number (22) 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 232523626325232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343443701946240).

232523626325232 is an abundant number, since it is smaller than the sum of its proper divisors (454363777567248).

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

232523626325232 is a wasteful number, since it uses less digits than its factorization.

232523626325232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54365 (or 54348 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 48.

The spelling of 232523626325232 in words is "two hundred thirty-two trillion, five hundred twenty-three billion, six hundred twenty-six million, three hundred twenty-five thousand, two hundred thirty-two".