974946301056 has 1152 divisors, whose sum is σ = 3607955619840. Its totient is φ = 247269335040.

The previous prime is 974946301027. The next prime is 974946301079. The reversal of 974946301056 is 650103649479.

974946301056 is a `hidden beast` number, since 9 + 74 + 9 + 463 + 0 + 105 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 974946300993 and 974946301011.

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, 7442338111 + ... + 7442338241.

It is an arithmetic number, because the mean of its divisors is an integer number (3131905920).

Almost surely, 2^974946301056 is an apocalyptic number.

974946301056 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 974946301056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803977809920).

974946301056 is an abundant number, since it is smaller than the sum of its proper divisors (2633009318784).

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

974946301056 is a wasteful number, since it uses less digits than its factorization.

974946301056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 974946301056 in words is "nine hundred seventy-four billion, nine hundred forty-six million, three hundred one thousand, fifty-six".