965823145920 has 168 divisors, whose sum is σ = 3324050465424. Its totient is φ = 257396133888.

The previous prime is 965823145909. The next prime is 965823145933. The reversal of 965823145920 is 29541328569.

965823145920 is a `hidden beast` number, since 9 + 6 + 582 + 3 + 1 + 4 + 59 + 2 + 0 = 666.

It is a super-2 number, since 2×965823145920² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4670967 + ... + 4873353.

Almost surely, 2^965823145920 is an apocalyptic number.

965823145920 is a gapful number since it is divisible by the number (90) 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 965823145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662025232712).

965823145920 is an abundant number, since it is smaller than the sum of its proper divisors (2358227319504).

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

965823145920 is a wasteful number, since it uses less digits than its factorization.

965823145920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204067 (or 204054 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 965823145920 in words is "nine hundred sixty-five billion, eight hundred twenty-three million, one hundred forty-five thousand, nine hundred twenty".