965521145232 has 240 divisors, whose sum is σ = 3231387820800. Its totient is φ = 275220529920.

The previous prime is 965521145213. The next prime is 965521145273. The reversal of 965521145232 is 232541125569.

965521145232 is a `hidden beast` number, since 9 + 6 + 5 + 5 + 2 + 114 + 523 + 2 = 666.

965521145232 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 2×965521145232² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9070494 + ... + 9176322.

It is an arithmetic number, because the mean of its divisors is an integer number (13464115920).

Almost surely, 2^965521145232 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 965521145232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615693910400).

965521145232 is an abundant number, since it is smaller than the sum of its proper divisors (2265866675568).

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

965521145232 is a wasteful number, since it uses less digits than its factorization.

965521145232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106291 (or 106272 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 965521145232 in words is "nine hundred sixty-five billion, five hundred twenty-one million, one hundred forty-five thousand, two hundred thirty-two".