961505316864 has 624 divisors, whose sum is σ = 3006201844800. Its totient is φ = 303614853120.

The previous prime is 961505316847. The next prime is 961505316881. The reversal of 961505316864 is 468613505169.

961505316864 is a `hidden beast` number, since 9 + 61 + 505 + 3 + 16 + 8 + 64 = 666.

961505316864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (961505316847) and next prime (961505316881).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 961505316864.

It is a congruent number.

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, 8821149642 + ... + 8821149750.

Almost surely, 2^961505316864 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 961505316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503100922400).

961505316864 is an abundant number, since it is smaller than the sum of its proper divisors (2044696527936).

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

961505316864 is a wasteful number, since it uses less digits than its factorization.

961505316864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 228 counting only the distinct ones).

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

The spelling of 961505316864 in words is "nine hundred sixty-one billion, five hundred five million, three hundred sixteen thousand, eight hundred sixty-four".