11249167968 has 72 divisors (see below), whose sum is σ = 33673512600. Its totient is φ = 3552367104.

The previous prime is 11249167933. The next prime is 11249167973. The reversal of 11249167968 is 86976194211.

11249167968 is a `hidden beast` number, since 1 + 1 + 2 + 491 + 67 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1022413 + ... + 1033356.

It is an arithmetic number, because the mean of its divisors is an integer number (467687675).

Almost surely, 2^11249167968 is an apocalyptic number.

11249167968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11249167968 is an abundant number, since it is smaller than the sum of its proper divisors (22424344632).

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

11249167968 is a wasteful number, since it uses less digits than its factorization.

11249167968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055804 (or 2055793 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The spelling of 11249167968 in words is "eleven billion, two hundred forty-nine million, one hundred sixty-seven thousand, nine hundred sixty-eight".