13374748007712 has 288 divisors, whose sum is σ = 48846907968768. Its totient is φ = 3374040434688.

The previous prime is 13374748007693. The next prime is 13374748007737. The reversal of 13374748007712 is 21770084747331.

13374748007712 is a `hidden beast` number, since 13 + 3 + 7 + 474 + 80 + 0 + 77 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13374748007712² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10491363 + ... + 11696930.

It is an arithmetic number, because the mean of its divisors is an integer number (169607319336).

Almost surely, 2^{13374748007712} is an apocalyptic number.

13374748007712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13374748007712 is an abundant number, since it is smaller than the sum of its proper divisors (35472159961056).

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

13374748007712 is a wasteful number, since it uses less digits than its factorization.

13374748007712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22188352 (or 22188341 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 13374748007712 in words is "thirteen trillion, three hundred seventy-four billion, seven hundred forty-eight million, seven thousand, seven hundred twelve".