11376304128 has 504 divisors, whose sum is σ = 39624316992. Its totient is φ = 3133734912.

The previous prime is 11376304111. The next prime is 11376304187. The reversal of 11376304128 is 82140367311.

It is a happy number.

11376304128 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 630 + 4 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×11376304128² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11376304092 and 11376304101.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169795551 + ... + 169795617.

Almost surely, 2^11376304128 is an apocalyptic number.

11376304128 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 11376304128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19812158496).

11376304128 is an abundant number, since it is smaller than the sum of its proper divisors (28248012864).

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

11376304128 is an equidigital number, since it uses as much as digits as its factorization.

11376304128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11376304128 in words is "eleven billion, three hundred seventy-six million, three hundred four thousand, one hundred twenty-eight".