865379946564 has 567 divisors, whose sum is σ = 2787168995247. Its totient is φ = 234291058848.

The previous prime is 865379946553. The next prime is 865379946593. The reversal of 865379946564 is 465649973568.

The square root of 865379946564 is 930258.

It is a perfect power (a square), and thus also a powerful number.

865379946564 is a `hidden beast` number, since 8 + 6 + 53 + 7 + 9 + 9 + 4 + 6 + 564 = 666.

It is a tau number, because it is divible by the number of its divisors (567).

It is a super-2 number, since 2×865379946564² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 865379946492 and 865379946501.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 8087662999 + ... + 8087663105.

Almost surely, 2^865379946564 is an apocalyptic number.

865379946564 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

865379946564 is the 930258-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 865379946564

865379946564 is an abundant number, since it is smaller than the sum of its proper divisors (1921789048683).

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

865379946564 is a wasteful number, since it uses less digits than its factorization.

865379946564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 142 counting only the distinct ones).

The product of its digits is 1175731200, while the sum is 72.

The spelling of 865379946564 in words is "eight hundred sixty-five billion, three hundred seventy-nine million, nine hundred forty-six thousand, five hundred sixty-four".