11516154479616 has 704 divisors, whose sum is σ = 34424374763520. Its totient is φ = 3408321576960.

The previous prime is 11516154479539. The next prime is 11516154479681. The reversal of 11516154479616 is 61697445161511.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 63 ways as a sum of consecutive naturals, for example, 7349172465 + ... + 7349174031.

Almost surely, 2^{11516154479616} is an apocalyptic number.

11516154479616 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 11516154479616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17212187381760).

11516154479616 is an abundant number, since it is smaller than the sum of its proper divisors (22908220283904).

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

11516154479616 is a wasteful number, since it uses less digits than its factorization.

11516154479616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1752 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 57.

The spelling of 11516154479616 in words is "eleven trillion, five hundred sixteen billion, one hundred fifty-four million, four hundred seventy-nine thousand, six hundred sixteen".