976918413312 has 396 divisors, whose sum is σ = 2971881779256. Its totient is φ = 321052999680.

The previous prime is 976918413301. The next prime is 976918413319. The reversal of 976918413312 is 213314819679.

976918413312 is a `hidden beast` number, since 97 + 69 + 184 + 1 + 3 + 312 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976918413319) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13759414237 + ... + 13759414307.

Almost surely, 2^976918413312 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 976918413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485940889628).

976918413312 is an abundant number, since it is smaller than the sum of its proper divisors (1994963365944).

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

976918413312 is an frugal number, since it uses more digits than its factorization.

976918413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 76 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 976918413312 in words is "nine hundred seventy-six billion, nine hundred eighteen million, four hundred thirteen thousand, three hundred twelve".