977044349952 has 704 divisors, whose sum is σ = 3399972019200. Its totient is φ = 273849384960.

The previous prime is 977044349929. The next prime is 977044350053. The reversal of 977044349952 is 259943440779.

977044349952 is a `hidden beast` number, since 97 + 7 + 0 + 4 + 4 + 3 + 499 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-3 number, since 3×977044349952³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 977044349952.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305038783 + ... + 305041985.

Almost surely, 2^977044349952 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 977044349952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699986009600).

977044349952 is an abundant number, since it is smaller than the sum of its proper divisors (2422927669248).

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

977044349952 is a wasteful number, since it uses less digits than its factorization.

977044349952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 977044349952 in words is "nine hundred seventy-seven billion, forty-four million, three hundred forty-nine thousand, nine hundred fifty-two".