12974090976 has 768 divisors, whose sum is σ = 50396774400. Its totient is φ = 3147724800.

The previous prime is 12974090971. The next prime is 12974090981. The reversal of 12974090976 is 67909047921.

It is an interprime number because it is at equal distance from previous prime (12974090971) and next prime (12974090981).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12974090971) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93338715 + ... + 93338853.

It is an arithmetic number, because the mean of its divisors is an integer number (65620800).

Almost surely, 2^12974090976 is an apocalyptic number.

12974090976 is a gapful number since it is divisible by the number (16) 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 12974090976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25198387200).

12974090976 is an abundant number, since it is smaller than the sum of its proper divisors (37422683424).

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

12974090976 is a wasteful number, since it uses less digits than its factorization.

12974090976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 12974090976 in words is "twelve billion, nine hundred seventy-four million, ninety thousand, nine hundred seventy-six".