11564366012164 has 243 divisors, whose sum is σ = 25174622600967. Its totient is φ = 4634286097056.

The previous prime is 11564366012159. The next prime is 11564366012183. The reversal of 11564366012164 is 46121066346511.

The square root of 11564366012164 is 3400642.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×11564366012164² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 64605396627 + ... + 64605396805.

Almost surely, 2^{11564366012164} is an apocalyptic number.

11564366012164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11564366012164 is the 3400642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11564366012164

11564366012164 is an abundant number, since it is smaller than the sum of its proper divisors (13610256588803).

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

11564366012164 is an equidigital number, since it uses as much as digits as its factorization.

11564366012164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 11564366012164 in words is "eleven trillion, five hundred sixty-four billion, three hundred sixty-six million, twelve thousand, one hundred sixty-four".