12457151064 has 96 divisors (see below), whose sum is σ = 35747244000. Its totient is φ = 3905442816.

The previous prime is 12457150997. The next prime is 12457151087. The reversal of 12457151064 is 46015175421.

12457151064 is a `hidden beast` number, since 1 + 24 + 571 + 5 + 1 + 0 + 64 = 666.

It is a super-2 number, since 2×12457151064² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2529997 + ... + 2534915.

It is an arithmetic number, because the mean of its divisors is an integer number (372367125).

Almost surely, 2^12457151064 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 12457151064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17873622000).

12457151064 is an abundant number, since it is smaller than the sum of its proper divisors (23290092936).

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

12457151064 is a wasteful number, since it uses less digits than its factorization.

12457151064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7017 (or 7010 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 12457151064 in words is "twelve billion, four hundred fifty-seven million, one hundred fifty-one thousand, sixty-four".