11810294496 has 576 divisors, whose sum is σ = 45808229376. Its totient is φ = 2786918400.

The previous prime is 11810294479. The next prime is 11810294527. The reversal of 11810294496 is 69449201811.

It is a happy number.

11810294496 is a `hidden beast` number, since 1 + 181 + 0 + 29 + 449 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20468160 + ... + 20468736.

It is an arithmetic number, because the mean of its divisors is an integer number (79528176).

Almost surely, 2^11810294496 is an apocalyptic number.

11810294496 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 11810294496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22904114688).

11810294496 is an abundant number, since it is smaller than the sum of its proper divisors (33997934880).

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

11810294496 is a wasteful number, since it uses less digits than its factorization.

11810294496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 11810294496 in words is "eleven billion, eight hundred ten million, two hundred ninety-four thousand, four hundred ninety-six".