12975536254464 has 960 divisors, whose sum is σ = 45762472800000. Its totient is φ = 3618339766272.

The previous prime is 12975536254441. The next prime is 12975536254487. The reversal of 12975536254464 is 46445263557921.

12975536254464 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 5 + 536 + 2 + 54 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (12975536254441) and next prime (12975536254487).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5954811327 + ... + 5954813505.

It is an arithmetic number, because the mean of its divisors is an integer number (47669242500).

Almost surely, 2^{12975536254464} is an apocalyptic number.

12975536254464 is a gapful number since it is divisible by the number (14) 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 12975536254464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22881236400000).

12975536254464 is an abundant number, since it is smaller than the sum of its proper divisors (32786936545536).

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

12975536254464 is a wasteful number, since it uses less digits than its factorization.

12975536254464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2428 (or 2399 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 63.

The spelling of 12975536254464 in words is "twelve trillion, nine hundred seventy-five billion, five hundred thirty-six million, two hundred fifty-four thousand, four hundred sixty-four".