12746040007464 has 128 divisors (see below), whose sum is σ = 35609279616000. Its totient is φ = 4224254231232.

The previous prime is 12746040007427. The next prime is 12746040007531. The reversal of 12746040007464 is 46470004064721.

It is a happy number.

12746040007464 is a `hidden beast` number, since 1 + 27 + 460 + 40 + 0 + 0 + 74 + 64 = 666.

It is a super-2 number, since 2×12746040007464² (a number of 27 digits) contains 22 as substring.

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, 272287149 + ... + 272333955.

It is an arithmetic number, because the mean of its divisors is an integer number (278197497000).

Almost surely, 2^{12746040007464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12746040007464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17804639808000).

12746040007464 is an abundant number, since it is smaller than the sum of its proper divisors (22863239608536).

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

12746040007464 is a wasteful number, since it uses less digits than its factorization.

12746040007464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54044 (or 54034 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 12746040007464 in words is "twelve trillion, seven hundred forty-six billion, forty million, seven thousand, four hundred sixty-four".