12451964976 has 240 divisors, whose sum is σ = 41424074880. Its totient is φ = 3550970880.

The previous prime is 12451964969. The next prime is 12451964989. The reversal of 12451964976 is 67946915421.

12451964976 is a `hidden beast` number, since 12 + 4 + 51 + 96 + 497 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1368795 + ... + 1377861.

It is an arithmetic number, because the mean of its divisors is an integer number (172600312).

Almost surely, 2^12451964976 is an apocalyptic number.

12451964976 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 12451964976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20712037440).

12451964976 is an abundant number, since it is smaller than the sum of its proper divisors (28972109904).

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

12451964976 is a wasteful number, since it uses less digits than its factorization.

12451964976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9129 (or 9100 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 12451964976 in words is "twelve billion, four hundred fifty-one million, nine hundred sixty-four thousand, nine hundred seventy-six".