11886313227264 has 1188 divisors, whose sum is σ = 42247424336832. Its totient is φ = 3274041876480.

The previous prime is 11886313227263. The next prime is 11886313227281. The reversal of 11886313227264 is 46272231368811.

11886313227264 is a `hidden beast` number, since 1 + 1 + 8 + 86 + 313 + 227 + 26 + 4 = 666.

11886313227264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11886313227264² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11886313227264.

It is not an unprimeable number, because it can be changed into a prime (11886313227263) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 45195107197 + ... + 45195107459.

Almost surely, 2^{11886313227264} is an apocalyptic number.

11886313227264 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 11886313227264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21123712168416).

11886313227264 is an abundant number, since it is smaller than the sum of its proper divisors (30361111109568).

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

11886313227264 is an frugal number, since it uses more digits than its factorization.

11886313227264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 306 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 11886313227264 in words is "eleven trillion, eight hundred eighty-six billion, three hundred thirteen million, two hundred twenty-seven thousand, two hundred sixty-four".