232253150544 has 240 divisors, whose sum is σ = 701610361920. Its totient is φ = 71459942400.

The previous prime is 232253150509. The next prime is 232253150557. The reversal of 232253150544 is 445051352232.

232253150544 is a `hidden beast` number, since 2 + 3 + 22 + 531 + 50 + 54 + 4 = 666.

232253150544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×232253150544² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 232253150499 and 232253150508.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 26451147 + ... + 26459925.

It is an arithmetic number, because the mean of its divisors is an integer number (2923376508).

Almost surely, 2^232253150544 is an apocalyptic number.

232253150544 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 232253150544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350805180960).

232253150544 is an abundant number, since it is smaller than the sum of its proper divisors (469357211376).

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

232253150544 is a wasteful number, since it uses less digits than its factorization.

232253150544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9018 (or 9009 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 232253150544 in words is "two hundred thirty-two billion, two hundred fifty-three million, one hundred fifty thousand, five hundred forty-four".