11518611456 has 312 divisors, whose sum is σ = 34582008832. Its totient is φ = 3406233600.

The previous prime is 11518611421. The next prime is 11518611479. The reversal of 11518611456 is 65411681511.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90697665 + ... + 90697791.

Almost surely, 2^11518611456 is an apocalyptic number.

11518611456 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 11518611456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17291004416).

11518611456 is an abundant number, since it is smaller than the sum of its proper divisors (23063397376).

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

11518611456 is a wasteful number, since it uses less digits than its factorization.

11518611456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 204 counting only the distinct ones).

The product of its digits is 28800, while the sum is 39.

The spelling of 11518611456 in words is "eleven billion, five hundred eighteen million, six hundred eleven thousand, four hundred fifty-six".