12405501864 has 96 divisors (see below), whose sum is σ = 39820173120. Its totient is φ = 3544425216.

The previous prime is 12405501847. The next prime is 12405501917. The reversal of 12405501864 is 46810550421.

It is a happy number.

12405501864 is a `hidden beast` number, since 1 + 2 + 40 + 550 + 1 + 8 + 64 = 666.

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

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, 442209 + ... + 469424.

It is an arithmetic number, because the mean of its divisors is an integer number (414793470).

Almost surely, 2^12405501864 is an apocalyptic number.

12405501864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12405501864 is an abundant number, since it is smaller than the sum of its proper divisors (27414671256).

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

12405501864 is an equidigital number, since it uses as much as digits as its factorization.

12405501864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911661 (or 911645 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 12405501864 in words is "twelve billion, four hundred five million, five hundred one thousand, eight hundred sixty-four".