11622708864 has 384 divisors, whose sum is σ = 38547774720. Its totient is φ = 3333242880.

The previous prime is 11622708833. The next prime is 11622708893. The reversal of 11622708864 is 46880722611.

11622708864 is a `hidden beast` number, since 11 + 622 + 7 + 0 + 8 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11622708864² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14121957 + ... + 14122779.

It is an arithmetic number, because the mean of its divisors is an integer number (100384830).

Almost surely, 2^11622708864 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 11622708864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19273887360).

11622708864 is an abundant number, since it is smaller than the sum of its proper divisors (26925065856).

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

11622708864 is a wasteful number, since it uses less digits than its factorization.

11622708864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 11622708864 in words is "eleven billion, six hundred twenty-two million, seven hundred eight thousand, eight hundred sixty-four".