232535161535232 has 576 divisors, whose sum is σ = 654565588992000. Its totient is φ = 73190946816000.

The previous prime is 232535161535231. The next prime is 232535161535233.

It is a happy number.

232535161535232 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (232535161535231) and next prime (232535161535233).

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

It is not an unprimeable number, because it can be changed into a prime (232535161535231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159379822119 + ... + 159379823577.

It is an arithmetic number, because the mean of its divisors is an integer number (1136398592000).

Almost surely, 2^{232535161535232} 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 232535161535232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327282794496000).

232535161535232 is an abundant number, since it is smaller than the sum of its proper divisors (422030427456768).

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

232535161535232 is a wasteful number, since it uses less digits than its factorization.

232535161535232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2514 counting only the distinct ones).

The product of its digits is 4860000, while the sum is 48.

The spelling of 232535161535232 in words is "two hundred thirty-two trillion, five hundred thirty-five billion, one hundred sixty-one million, five hundred thirty-five thousand, two hundred thirty-two".