977915298816 has 99 divisors (see below), whose sum is σ = 2823983349733. Its totient is φ = 325940121600.

The previous prime is 977915298799. The next prime is 977915298863. The reversal of 977915298816 is 618892519779.

It is a happy number.

The square root of 977915298816 is 988896.

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

977915298816 is a `hidden beast` number, since 9 + 7 + 7 + 9 + 1 + 529 + 88 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 940310332416 + 37604966400 = 969696^2 + 193920^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94928866 + ... + 94939166.

Almost surely, 2^977915298816 is an apocalyptic number.

977915298816 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

977915298816 is the 988896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977915298816

977915298816 is an abundant number, since it is smaller than the sum of its proper divisors (1846068050917).

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

977915298816 is an frugal number, since it uses more digits than its factorization.

977915298816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20628 (or 10306 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 72.

The spelling of 977915298816 in words is "nine hundred seventy-seven billion, nine hundred fifteen million, two hundred ninety-eight thousand, eight hundred sixteen".