11746875892864 has 32 divisors (see below), whose sum is σ = 26745119222400. Its totient is φ = 5034375382272.

The previous prime is 11746875892859. The next prime is 11746875892867. The reversal of 11746875892864 is 46829857864711.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×11746875892864² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11746875892867) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6555175384 + ... + 6555177175.

It is an arithmetic number, because the mean of its divisors is an integer number (835784975700).

Almost surely, 2^{11746875892864} is an apocalyptic number.

11746875892864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11746875892864 is an abundant number, since it is smaller than the sum of its proper divisors (14998243329536).

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

11746875892864 is an equidigital number, since it uses as much as digits as its factorization.

11746875892864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13110352580 (or 13110352568 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 76.

The spelling of 11746875892864 in words is "eleven trillion, seven hundred forty-six billion, eight hundred seventy-five million, eight hundred ninety-two thousand, eight hundred sixty-four".