11310990336 has 440 divisors, whose sum is σ = 35952263424. Its totient is φ = 3536732160.

The previous prime is 11310990323. The next prime is 11310990337. The reversal of 11310990336 is 63309901311.

11310990336 is a `hidden beast` number, since 1 + 1 + 310 + 9 + 9 + 0 + 336 = 666.

It is a super-3 number, since 3×11310990336³ (a number of 31 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11310990336.

It is not an unprimeable number, because it can be changed into a prime (11310990337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 136276951 + ... + 136277033.

Almost surely, 2^11310990336 is an apocalyptic number.

11310990336 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 11310990336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17976131712).

11310990336 is an abundant number, since it is smaller than the sum of its proper divisors (24641273088).

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

11310990336 is an equidigital number, since it uses as much as digits as its factorization.

11310990336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The spelling of 11310990336 in words is "eleven billion, three hundred ten million, nine hundred ninety thousand, three hundred thirty-six".