11551345344 has 252 divisors, whose sum is σ = 41594290192. Its totient is φ = 3000222720.

The previous prime is 11551345343. The next prime is 11551345349. The reversal of 11551345344 is 44354315511.

11551345344 is a `hidden beast` number, since 1 + 155 + 13 + 453 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a junction number, because it is equal to n+sod(n) for n = 11551345299 and 11551345308.

It is not an unprimeable number, because it can be changed into a prime (11551345343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 476034 + ... + 499710.

Almost surely, 2^11551345344 is an apocalyptic number.

11551345344 is a gapful number since it is divisible by the number (14) 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 11551345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20797145096).

11551345344 is an abundant number, since it is smaller than the sum of its proper divisors (30042944848).

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

11551345344 is a wasteful number, since it uses less digits than its factorization.

11551345344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23724 (or 23700 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 11551345344 in words is "eleven billion, five hundred fifty-one million, three hundred forty-five thousand, three hundred forty-four".