11158894656 has 504 divisors, whose sum is σ = 42449785560. Its totient is φ = 2768338944.

The previous prime is 11158894627. The next prime is 11158894657. The reversal of 11158894656 is 65649885111.

11158894656 is a `hidden beast` number, since 1 + 1 + 1 + 588 + 9 + 4 + 6 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3760142400 + 7398752256 = 61320^2 + 86016^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (11158894657) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6236610 + ... + 6238398.

It is an arithmetic number, because the mean of its divisors is an integer number (84225765).

Almost surely, 2^11158894656 is an apocalyptic number.

11158894656 is a gapful number since it is divisible by the number (16) 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 11158894656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21224892780).

11158894656 is an abundant number, since it is smaller than the sum of its proper divisors (31290890904).

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

11158894656 is a wasteful number, since it uses less digits than its factorization.

11158894656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851 (or 1831 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 54.

The spelling of 11158894656 in words is "eleven billion, one hundred fifty-eight million, eight hundred ninety-four thousand, six hundred fifty-six".