11472064413264 has 1440 divisors, whose sum is σ = 43658778159360. Its totient is φ = 2777860915200.

The previous prime is 11472064413241. The next prime is 11472064413269. The reversal of 11472064413264 is 46231446027411.

11472064413264 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 206 + 4 + 413 + 26 + 4 = 666.

11472064413264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11472064413269) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12933555829 + ... + 12933556715.

It is an arithmetic number, because the mean of its divisors is an integer number (30318595944).

Almost surely, 2^{11472064413264} is an apocalyptic number.

11472064413264 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 11472064413264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21829389079680).

11472064413264 is an abundant number, since it is smaller than the sum of its proper divisors (32186713746096).

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

11472064413264 is a wasteful number, since it uses less digits than its factorization.

11472064413264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 11472064413264 in words is "eleven trillion, four hundred seventy-two billion, sixty-four million, four hundred thirteen thousand, two hundred sixty-four".