11614364064 has 192 divisors, whose sum is σ = 34505251200. Its totient is φ = 3800162304.

The previous prime is 11614364033. The next prime is 11614364081. The reversal of 11614364064 is 46046341611.

11614364064 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 4 + 3 + 640 + 6 + 4 = 666.

It is a super-2 number, since 2×11614364064² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11648814 + ... + 11649810.

It is an arithmetic number, because the mean of its divisors is an integer number (179714850).

Almost surely, 2^11614364064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11614364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17252625600).

11614364064 is an abundant number, since it is smaller than the sum of its proper divisors (22890887136).

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

11614364064 is a wasteful number, since it uses less digits than its factorization.

11614364064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 11614364064 in words is "eleven billion, six hundred fourteen million, three hundred sixty-four thousand, sixty-four".