11151665164656 has 120 divisors (see below), whose sum is σ = 32380965402240. Its totient is φ = 3715396019136.

The previous prime is 11151665164609. The next prime is 11151665164669. The reversal of 11151665164656 is 65646156615111.

11151665164656 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 1 + 66 + 516 + 4 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7224291 + ... + 8630973.

It is an arithmetic number, because the mean of its divisors is an integer number (269841378352).

Almost surely, 2^{11151665164656} is an apocalyptic number.

11151665164656 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 11151665164656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16190482701120).

11151665164656 is an abundant number, since it is smaller than the sum of its proper divisors (21229300237584).

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

11151665164656 is a wasteful number, since it uses less digits than its factorization.

11151665164656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408745 (or 1408727 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 54.

The spelling of 11151665164656 in words is "eleven trillion, one hundred fifty-one billion, six hundred sixty-five million, one hundred sixty-four thousand, six hundred fifty-six".