12131842464 has 288 divisors, whose sum is σ = 42541873920. Its totient is φ = 3200311296.

The previous prime is 12131842451. The next prime is 12131842469. The reversal of 12131842464 is 46424813121.

12131842464 is a `hidden beast` number, since 1 + 2 + 13 + 184 + 2 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (12131842469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1813077 + ... + 1819755.

It is an arithmetic number, because the mean of its divisors is an integer number (147714840).

Almost surely, 2^12131842464 is an apocalyptic number.

12131842464 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 12131842464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21270936960).

12131842464 is an abundant number, since it is smaller than the sum of its proper divisors (30410031456).

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

12131842464 is a wasteful number, since it uses less digits than its factorization.

12131842464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6772 (or 6761 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 12131842464 in words is "twelve billion, one hundred thirty-one million, eight hundred forty-two thousand, four hundred sixty-four".