11882683008 has 192 divisors, whose sum is σ = 39170040000. Its totient is φ = 3387101184.

The previous prime is 11882682997. The next prime is 11882683073. The reversal of 11882683008 is 80038628811.

11882683008 is a `hidden beast` number, since 1 + 1 + 88 + 268 + 300 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×11882683008² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4022460 + ... + 4025412.

It is an arithmetic number, because the mean of its divisors is an integer number (204010625).

Almost surely, 2^11882683008 is an apocalyptic number.

11882683008 is a gapful number since it is divisible by the number (18) 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 11882683008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19585020000).

11882683008 is an abundant number, since it is smaller than the sum of its proper divisors (27287356992).

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

11882683008 is a wasteful number, since it uses less digits than its factorization.

11882683008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3464 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 11882683008 in words is "eleven billion, eight hundred eighty-two million, six hundred eighty-three thousand, eight".