11164070715336 has 384 divisors, whose sum is σ = 39436222464000. Its totient is φ = 2893690396800.

The previous prime is 11164070715277. The next prime is 11164070715353. The reversal of 11164070715336 is 63351707046111.

11164070715336 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 40 + 7 + 0 + 71 + 533 + 6 = 666.

11164070715336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11164070715291 and 11164070715300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55667001 + ... + 55867191.

It is an arithmetic number, because the mean of its divisors is an integer number (102698496000).

Almost surely, 2^{11164070715336} 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 11164070715336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19718111232000).

11164070715336 is an abundant number, since it is smaller than the sum of its proper divisors (28272151748664).

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

11164070715336 is a wasteful number, since it uses less digits than its factorization.

11164070715336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200710 (or 200693 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 11164070715336 in words is "eleven trillion, one hundred sixty-four billion, seventy million, seven hundred fifteen thousand, three hundred thirty-six".