926983564416 has 1280 divisors, whose sum is σ = 3533113731840. Its totient is φ = 234770006016.

The previous prime is 926983564387. The next prime is 926983564421. The reversal of 926983564416 is 614465389629.

926983564416 is a `hidden beast` number, since 9 + 2 + 69 + 8 + 3 + 564 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2961608676 + ... + 2961608988.

It is an arithmetic number, because the mean of its divisors is an integer number (2760245103).

Almost surely, 2^926983564416 is an apocalyptic number.

926983564416 is a gapful number since it is divisible by the number (96) 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 926983564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766556865920).

926983564416 is an abundant number, since it is smaller than the sum of its proper divisors (2606130167424).

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

926983564416 is a wasteful number, since it uses less digits than its factorization.

926983564416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 454 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 926983564416 in words is "nine hundred twenty-six billion, nine hundred eighty-three million, five hundred sixty-four thousand, four hundred sixteen".