11658416138264 has 32 divisors (see below), whose sum is σ = 25788201600000. Its totient is φ = 4835287798560.

The previous prime is 11658416138263. The next prime is 11658416138267. The reversal of 11658416138264 is 46283161485611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11658416138263) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3357837014 + ... + 3357840485.

It is an arithmetic number, because the mean of its divisors is an integer number (805881300000).

Almost surely, 2^{11658416138264} is an apocalyptic number.

11658416138264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11658416138264 is an abundant number, since it is smaller than the sum of its proper divisors (14129785461736).

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

11658416138264 is a wasteful number, since it uses less digits than its factorization.

11658416138264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715677543 (or 6715677539 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 56.

The spelling of 11658416138264 in words is "eleven trillion, six hundred fifty-eight billion, four hundred sixteen million, one hundred thirty-eight thousand, two hundred sixty-four".