974528912448 has 1344 divisors, whose sum is σ = 4001626540800. Its totient is φ = 229084692480.

The previous prime is 974528912437. The next prime is 974528912449. The reversal of 974528912448 is 844219825479.

974528912448 is a `hidden beast` number, since 97 + 4 + 528 + 9 + 12 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (974528912449) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 355536358 + ... + 355539098.

It is an arithmetic number, because the mean of its divisors is an integer number (2977400700).

Almost surely, 2^974528912448 is an apocalyptic number.

974528912448 is a gapful number since it is divisible by the number (98) 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 974528912448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000813270400).

974528912448 is an abundant number, since it is smaller than the sum of its proper divisors (3027097628352).

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

974528912448 is a wasteful number, since it uses less digits than its factorization.

974528912448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2802 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 974528912448 in words is "nine hundred seventy-four billion, five hundred twenty-eight million, nine hundred twelve thousand, four hundred forty-eight".