11382522624 has 432 divisors, whose sum is σ = 38521714560. Its totient is φ = 3287623680.

The previous prime is 11382522607. The next prime is 11382522637. The reversal of 11382522624 is 42622528311.

11382522624 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 2 + 5 + 22 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40220787 + ... + 40221069.

Almost surely, 2^11382522624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11382522624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19260857280).

11382522624 is an abundant number, since it is smaller than the sum of its proper divisors (27139191936).

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

11382522624 is a wasteful number, since it uses less digits than its factorization.

11382522624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 322 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 11382522624 in words is "eleven billion, three hundred eighty-two million, five hundred twenty-two thousand, six hundred twenty-four".