985956408864 has 480 divisors, whose sum is σ = 3381444734976. Its totient is φ = 276010882560.

The previous prime is 985956408817. The next prime is 985956408881. The reversal of 985956408864 is 468804659589.

985956408864 is a `hidden beast` number, since 9 + 8 + 59 + 564 + 0 + 8 + 8 + 6 + 4 = 666.

985956408864 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×985956408864² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 985956408792 and 985956408801.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 215131117 + ... + 215135699.

Almost surely, 2^985956408864 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 985956408864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690722367488).

985956408864 is an abundant number, since it is smaller than the sum of its proper divisors (2395488326112).

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

985956408864 is a wasteful number, since it uses less digits than its factorization.

985956408864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4850 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 985956408864 in words is "nine hundred eighty-five billion, nine hundred fifty-six million, four hundred eight thousand, eight hundred sixty-four".