12954591608832 has 480 divisors, whose sum is σ = 39867582686400. Its totient is φ = 4153814286336.

The previous prime is 12954591608779. The next prime is 12954591608887. The reversal of 12954591608832 is 23880619545921.

12954591608832 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 4 + 591 + 6 + 0 + 8 + 8 + 32 = 666.

It is a super-2 number, since 2×12954591608832² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12954591608832.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1456713378 + ... + 1456722270.

It is an arithmetic number, because the mean of its divisors is an integer number (83057463930).

Almost surely, 2^{12954591608832} is an apocalyptic number.

12954591608832 is a gapful number since it is divisible by the number (12) 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 12954591608832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19933791343200).

12954591608832 is an abundant number, since it is smaller than the sum of its proper divisors (26912991077568).

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

12954591608832 is an frugal number, since it uses more digits than its factorization.

12954591608832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9056 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 12954591608832 in words is "twelve trillion, nine hundred fifty-four billion, five hundred ninety-one million, six hundred eight thousand, eight hundred thirty-two".