11296044864 has 280 divisors, whose sum is σ = 37230921728. Its totient is φ = 3362964480.

The previous prime is 11296044857. The next prime is 11296044923. The reversal of 11296044864 is 46844069211.

11296044864 is a `hidden beast` number, since 11 + 29 + 604 + 4 + 8 + 6 + 4 = 666.

It is a super-3 number, since 3×11296044864³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2086449 + ... + 2091855.

Almost surely, 2^11296044864 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 11296044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18615460864).

11296044864 is an abundant number, since it is smaller than the sum of its proper divisors (25934876864).

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

11296044864 is a wasteful number, since it uses less digits than its factorization.

11296044864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5475 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 11296044864 in words is "eleven billion, two hundred ninety-six million, forty-four thousand, eight hundred sixty-four".