11546260510164 has 96 divisors (see below), whose sum is σ = 27769536135936. Its totient is φ = 3731604357120.

The previous prime is 11546260510133. The next prime is 11546260510177. The reversal of 11546260510164 is 46101506264511.

It is a super-2 number, since 2×11546260510164² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 481222552 + ... + 481246544.

It is an arithmetic number, because the mean of its divisors is an integer number (289266001416).

Almost surely, 2^{11546260510164} is an apocalyptic number.

It is an amenable number.

11546260510164 is an abundant number, since it is smaller than the sum of its proper divisors (16223275625772).

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

11546260510164 is a wasteful number, since it uses less digits than its factorization.

11546260510164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30065 (or 30063 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

Adding to 11546260510164 its reverse (46101506264511), we get a palindrome (57647766774675).

The spelling of 11546260510164 in words is "eleven trillion, five hundred forty-six billion, two hundred sixty million, five hundred ten thousand, one hundred sixty-four".