11812665816 has 288 divisors, whose sum is σ = 39129760800. Its totient is φ = 3153548160.

The previous prime is 11812665803. The next prime is 11812665827. The reversal of 11812665816 is 61856621811.

11812665816 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 2 + 66 + 581 + 6 = 666.

Its product of digits (138240) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 381053721 + ... + 381053751.

It is an arithmetic number, because the mean of its divisors is an integer number (135867225).

Almost surely, 2^11812665816 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 11812665816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19564880400).

11812665816 is an abundant number, since it is smaller than the sum of its proper divisors (27317094984).

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

11812665816 is an equidigital number, since it uses as much as digits as its factorization.

11812665816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 72 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The spelling of 11812665816 in words is "eleven billion, eight hundred twelve million, six hundred sixty-five thousand, eight hundred sixteen".