974961557856 has 864 divisors, whose sum is σ = 3490247648160. Its totient is φ = 263003811840.

The previous prime is 974961557821. The next prime is 974961557861. The reversal of 974961557856 is 658755169479.

974961557856 is a `hidden beast` number, since 9 + 7 + 4 + 9 + 61 + 557 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1142979126 + ... + 1142979978.

Almost surely, 2^974961557856 is an apocalyptic number.

974961557856 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 974961557856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745123824080).

974961557856 is an abundant number, since it is smaller than the sum of its proper divisors (2515286090304).

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

974961557856 is a wasteful number, since it uses less digits than its factorization.

974961557856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 911 counting only the distinct ones).

The product of its digits is 571536000, while the sum is 72.

The spelling of 974961557856 in words is "nine hundred seventy-four billion, nine hundred sixty-one million, five hundred fifty-seven thousand, eight hundred fifty-six".