11296295064 has 192 divisors, whose sum is σ = 32966200800. Its totient is φ = 3487131648.

The previous prime is 11296295053. The next prime is 11296295149. The reversal of 11296295064 is 46059269211.

11296295064 is a `hidden beast` number, since 1 + 12 + 9 + 629 + 5 + 0 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5638687 + ... + 5640689.

Almost surely, 2^11296295064 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 11296295064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483100400).

11296295064 is an abundant number, since it is smaller than the sum of its proper divisors (21669905736).

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

11296295064 is a wasteful number, since it uses less digits than its factorization.

11296295064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11296295064 in words is "eleven billion, two hundred ninety-six million, two hundred ninety-five thousand, sixty-four".