11375916048 has 400 divisors, whose sum is σ = 38878364800. Its totient is φ = 3209746176.

The previous prime is 11375916029. The next prime is 11375916059. The reversal of 11375916048 is 84061957311.

11375916048 is a `hidden beast` number, since 1 + 1 + 37 + 5 + 9 + 1 + 604 + 8 = 666.

It is a super-2 number, since 2×11375916048² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11375915994 and 11375916012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69790815 + ... + 69790977.

It is an arithmetic number, because the mean of its divisors is an integer number (97195912).

Almost surely, 2^11375916048 is an apocalyptic number.

11375916048 is a gapful number since it is divisible by the number (18) 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 11375916048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19439182400).

11375916048 is an abundant number, since it is smaller than the sum of its proper divisors (27502448752).

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

11375916048 is a wasteful number, since it uses less digits than its factorization.

11375916048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 11375916048 in words is "eleven billion, three hundred seventy-five million, nine hundred sixteen thousand, forty-eight".