11166353136 has 120 divisors (see below), whose sum is σ = 32264147760. Its totient is φ = 3602423808.

The previous prime is 11166353063. The next prime is 11166353137. The reversal of 11166353136 is 63135366111.

11166353136 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 635 + 3 + 13 + 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 11166353136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11166353137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1022875 + ... + 1033733.

It is an arithmetic number, because the mean of its divisors is an integer number (268867898).

Almost surely, 2^11166353136 is an apocalyptic number.

11166353136 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 11166353136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16132073880).

11166353136 is an abundant number, since it is smaller than the sum of its proper divisors (21097794624).

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

11166353136 is a wasteful number, since it uses less digits than its factorization.

11166353136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11103 (or 11094 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The spelling of 11166353136 in words is "eleven billion, one hundred sixty-six million, three hundred fifty-three thousand, one hundred thirty-six".