11472641136 has 180 divisors, whose sum is σ = 35721375144. Its totient is φ = 3434238720.

The previous prime is 11472641113. The next prime is 11472641143. The reversal of 11472641136 is 63114627411.

11472641136 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 2 + 641 + 1 + 3 + 6 = 666.

11472641136 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 self number, because there is not a number n which added to its sum of digits gives 11472641136.

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 35 ways as a sum of consecutive naturals, for example, 1442226 + ... + 1450158.

Almost surely, 2^11472641136 is an apocalyptic number.

11472641136 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 11472641136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17860687572).

11472641136 is an abundant number, since it is smaller than the sum of its proper divisors (24248734008).

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

11472641136 is a wasteful number, since it uses less digits than its factorization.

11472641136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8052 (or 8032 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 11472641136 in words is "eleven billion, four hundred seventy-two million, six hundred forty-one thousand, one hundred thirty-six".