11231585064 has 240 divisors, whose sum is σ = 37950343200. Its totient is φ = 3040128288.

The previous prime is 11231585063. The next prime is 11231585081. The reversal of 11231585064 is 46058513211.

11231585064 is a `hidden beast` number, since 1 + 12 + 3 + 1 + 585 + 0 + 64 = 666.

It is a super-2 number, since 2×11231585064² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11231585063) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 591136047 + ... + 591136065.

It is an arithmetic number, because the mean of its divisors is an integer number (158126430).

Almost surely, 2^11231585064 is an apocalyptic number.

11231585064 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 11231585064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18975171600).

11231585064 is an abundant number, since it is smaller than the sum of its proper divisors (26718758136).

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

11231585064 is an frugal number, since it uses more digits than its factorization.

11231585064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11231585064 in words is "eleven billion, two hundred thirty-one million, five hundred eighty-five thousand, sixty-four".