974148894720 has 384 divisors, whose sum is σ = 3575736922680. Its totient is φ = 244485980160.

The previous prime is 974148894629. The next prime is 974148894731. The reversal of 974148894720 is 27498841479.

974148894720 is a `hidden beast` number, since 9 + 7 + 41 + 48 + 89 + 472 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 964104044544 + 10044850176 = 981888^2 + 100224^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25048090 + ... + 25086950.

Almost surely, 2^974148894720 is an apocalyptic number.

974148894720 is a gapful number since it is divisible by the number (90) 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 974148894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787868461340).

974148894720 is an abundant number, since it is smaller than the sum of its proper divisors (2601588027960).

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

974148894720 is a wasteful number, since it uses less digits than its factorization.

974148894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38919 (or 38888 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 974148894720 in words is "nine hundred seventy-four billion, one hundred forty-eight million, eight hundred ninety-four thousand, seven hundred twenty".