11157188302368 has 96 divisors (see below), whose sum is σ = 32542725196800. Its totient is φ = 3718956941568.

The previous prime is 11157188302343. The next prime is 11157188302399. The reversal of 11157188302368 is 86320388175111.

11157188302368 is a `hidden beast` number, since 1 + 1 + 1 + 571 + 8 + 8 + 3 + 0 + 2 + 3 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33842130 + ... + 34170222.

It is an arithmetic number, because the mean of its divisors is an integer number (338986720800).

Almost surely, 2^{11157188302368} is an apocalyptic number.

11157188302368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11157188302368 is an abundant number, since it is smaller than the sum of its proper divisors (21385536894432).

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

11157188302368 is a wasteful number, since it uses less digits than its factorization.

11157188302368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367471 (or 367457 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 11157188302368 in words is "eleven trillion, one hundred fifty-seven billion, one hundred eighty-eight million, three hundred two thousand, three hundred sixty-eight".