11884634496 has 256 divisors, whose sum is σ = 40463808000. Its totient is φ = 3363710976.

The previous prime is 11884634477. The next prime is 11884634519. The reversal of 11884634496 is 69443648811.

11884634496 is a `hidden beast` number, since 1 + 1 + 88 + 46 + 34 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2634675 + ... + 2639181.

It is an arithmetic number, because the mean of its divisors is an integer number (158061750).

Almost surely, 2^11884634496 is an apocalyptic number.

11884634496 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 11884634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20231904000).

11884634496 is an abundant number, since it is smaller than the sum of its proper divisors (28579173504).

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

11884634496 is a wasteful number, since it uses less digits than its factorization.

11884634496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646 (or 4628 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 11884634496 in words is "eleven billion, eight hundred eighty-four million, six hundred thirty-four thousand, four hundred ninety-six".