11137830912 has 416 divisors, whose sum is σ = 36402114560. Its totient is φ = 3344302080.

The previous prime is 11137830911. The next prime is 11137830947. The reversal of 11137830912 is 21903873111.

It is a tau number, because it is divible by the number of its divisors (416).

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 11137830912 = 264³ + 2232³ = 720³ + 2208³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11137830911) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87699393 + ... + 87699519.

Almost surely, 2^11137830912 is an apocalyptic number.

11137830912 is a gapful number since it is divisible by the number (12) 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 11137830912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201057280).

11137830912 is an abundant number, since it is smaller than the sum of its proper divisors (25264283648).

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

11137830912 is a wasteful number, since it uses less digits than its factorization.

11137830912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 11137830912 in words is "eleven billion, one hundred thirty-seven million, eight hundred thirty thousand, nine hundred twelve".