11151556416 has 840 divisors, whose sum is σ = 45323552736. Its totient is φ = 2664990720.

The previous prime is 11151556397. The next prime is 11151556439. The reversal of 11151556416 is 61465515111.

11151556416 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 1 + 5 + 5 + 641 + 6 = 666.

11151556416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36324135 + ... + 36324441.

Almost surely, 2^11151556416 is an apocalyptic number.

11151556416 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 11151556416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22661776368).

11151556416 is an abundant number, since it is smaller than the sum of its proper divisors (34171996320).

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

11151556416 is a wasteful number, since it uses less digits than its factorization.

11151556416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 343 counting only the distinct ones).

The product of its digits is 18000, while the sum is 36.

The spelling of 11151556416 in words is "eleven billion, one hundred fifty-one million, five hundred fifty-six thousand, four hundred sixteen".