232547735433216 has 832 divisors, whose sum is σ = 766010283816960. Its totient is φ = 61304765153280.

The previous prime is 232547735433203. The next prime is 232547735433269. The reversal of 232547735433216 is 612334537745232.

It is a super-2 number, since 2×232547735433216² (a number of 30 digits) contains 22 as substring.

Its product of digits (76204800) is a multiple of the sum of its prime factors (32400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7219048726 + ... + 7219080938.

It is an arithmetic number, because the mean of its divisors is an integer number (920685437280).

Almost surely, 2^{232547735433216} 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 232547735433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383005141908480).

232547735433216 is an abundant number, since it is smaller than the sum of its proper divisors (533462548383744).

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

232547735433216 is a wasteful number, since it uses less digits than its factorization.

232547735433216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32400 (or 32378 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 57.

The spelling of 232547735433216 in words is "two hundred thirty-two trillion, five hundred forty-seven billion, seven hundred thirty-five million, four hundred thirty-three thousand, two hundred sixteen".