11812974264 has 288 divisors, whose sum is σ = 39807331200. Its totient is φ = 3098684160.

The previous prime is 11812974259. The next prime is 11812974269. The reversal of 11812974264 is 46247921811.

It is an interprime number because it is at equal distance from previous prime (11812974259) and next prime (11812974269).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11812974269) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28193047 + ... + 28193465.

It is an arithmetic number, because the mean of its divisors is an integer number (138219900).

Almost surely, 2^11812974264 is an apocalyptic number.

11812974264 is a gapful number since it is divisible by the number (14) 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 11812974264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19903665600).

11812974264 is an abundant number, since it is smaller than the sum of its proper divisors (27994356936).

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

11812974264 is a wasteful number, since it uses less digits than its factorization.

11812974264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 775 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 11812974264 in words is "eleven billion, eight hundred twelve million, nine hundred seventy-four thousand, two hundred sixty-four".