11322856512 has 560 divisors, whose sum is σ = 39034638720. Its totient is φ = 3212697600.

The previous prime is 11322856469. The next prime is 11322856537. The reversal of 11322856512 is 21565822311.

11322856512 is a `hidden beast` number, since 1 + 132 + 2 + 8 + 5 + 6 + 512 = 666.

It is a super-2 number, since 2×11322856512² (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 79 ways as a sum of consecutive naturals, for example, 67801453 + ... + 67801619.

It is an arithmetic number, because the mean of its divisors is an integer number (69704712).

Almost surely, 2^11322856512 is an apocalyptic number.

11322856512 is a gapful number since it is divisible by the number (12) 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 11322856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19517319360).

11322856512 is an abundant number, since it is smaller than the sum of its proper divisors (27711782208).

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

11322856512 is a wasteful number, since it uses less digits than its factorization.

11322856512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 253 counting only the distinct ones).

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

The spelling of 11322856512 in words is "eleven billion, three hundred twenty-two million, eight hundred fifty-six thousand, five hundred twelve".