11384907264 has 320 divisors, whose sum is σ = 35802708480. Its totient is φ = 3564380160.

The previous prime is 11384907229. The next prime is 11384907269. The reversal of 11384907264 is 46270948311.

11384907264 is a `hidden beast` number, since 1 + 1 + 38 + 490 + 72 + 64 = 666.

It is a super-2 number, since 2×11384907264² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11384907269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19394779 + ... + 19395365.

It is an arithmetic number, because the mean of its divisors is an integer number (111883464).

Almost surely, 2^11384907264 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 11384907264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17901354240).

11384907264 is an abundant number, since it is smaller than the sum of its proper divisors (24417801216).

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

11384907264 is an equidigital number, since it uses as much as digits as its factorization.

11384907264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11384907264 in words is "eleven billion, three hundred eighty-four million, nine hundred seven thousand, two hundred sixty-four".