977914731456 has 1120 divisors, whose sum is σ = 3435048207360. Its totient is φ = 272321740800.

The previous prime is 977914731323. The next prime is 977914731503. The reversal of 977914731456 is 654137419779.

977914731456 is a `hidden beast` number, since 9 + 7 + 7 + 9 + 147 + 31 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 977914731393 and 977914731402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5119972321 + ... + 5119972511.

It is an arithmetic number, because the mean of its divisors is an integer number (3067007328).

Almost surely, 2^977914731456 is an apocalyptic number.

977914731456 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 977914731456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717524103680).

977914731456 is an abundant number, since it is smaller than the sum of its proper divisors (2457133475904).

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

977914731456 is a wasteful number, since it uses less digits than its factorization.

977914731456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 376 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 63.

The spelling of 977914731456 in words is "nine hundred seventy-seven billion, nine hundred fourteen million, seven hundred thirty-one thousand, four hundred fifty-six".