11513362356 has 336 divisors, whose sum is σ = 33316738560. Its totient is φ = 3469340160.

The previous prime is 11513362349. The next prime is 11513362381. The reversal of 11513362356 is 65326331511.

11513362356 is a `hidden beast` number, since 1 + 15 + 13 + 3 + 623 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11513362356.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 145738725 + ... + 145738803.

It is an arithmetic number, because the mean of its divisors is an integer number (99156960).

Almost surely, 2^11513362356 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 11513362356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16658369280).

11513362356 is an abundant number, since it is smaller than the sum of its proper divisors (21803376204).

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

11513362356 is a wasteful number, since it uses less digits than its factorization.

11513362356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

Adding to 11513362356 its reverse (65326331511), we get a palindrome (76839693867).

The spelling of 11513362356 in words is "eleven billion, five hundred thirteen million, three hundred sixty-two thousand, three hundred fifty-six".