12542679362304 has 864 divisors, whose sum is σ = 46292842179584. Its totient is φ = 3177923051520.

The previous prime is 12542679362293. The next prime is 12542679362321. The reversal of 12542679362304 is 40326397624521.

12542679362304 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 2 + 6 + 7 + 9 + 3 + 623 + 0 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 549937269 + ... + 549960075.

Almost surely, 2^{12542679362304} is an apocalyptic number.

12542679362304 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 12542679362304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23146421089792).

12542679362304 is an abundant number, since it is smaller than the sum of its proper divisors (33750162817280).

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

12542679362304 is a wasteful number, since it uses less digits than its factorization.

12542679362304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22953 (or 22936 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 12542679362304 in words is "twelve trillion, five hundred forty-two billion, six hundred seventy-nine million, three hundred sixty-two thousand, three hundred four".