974123894016 has 864 divisors, whose sum is σ = 3603061163520. Its totient is φ = 246177792000.

The previous prime is 974123894011. The next prime is 974123894039. The reversal of 974123894016 is 610498321479.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (974123894011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 918118126 + ... + 918119186.

It is an arithmetic number, because the mean of its divisors is an integer number (4170209680).

Almost surely, 2^974123894016 is an apocalyptic number.

974123894016 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 974123894016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1801530581760).

974123894016 is an abundant number, since it is smaller than the sum of its proper divisors (2628937269504).

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

974123894016 is a wasteful number, since it uses less digits than its factorization.

974123894016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 974123894016 in words is "nine hundred seventy-four billion, one hundred twenty-three million, eight hundred ninety-four thousand, sixteen".