18645412464 has 160 divisors (see below), whose sum is σ = 61246080000. Its totient is φ = 5320187136.

The previous prime is 18645412447. The next prime is 18645412477. The reversal of 18645412464 is 46421454681.

18645412464 is a `hidden beast` number, since 1 + 8 + 64 + 541 + 2 + 46 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2533462 + ... + 2540810.

It is an arithmetic number, because the mean of its divisors is an integer number (382788000).

Almost surely, 2^18645412464 is an apocalyptic number.

18645412464 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 18645412464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30623040000).

18645412464 is an abundant number, since it is smaller than the sum of its proper divisors (42600667536).

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

18645412464 is a wasteful number, since it uses less digits than its factorization.

18645412464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8212 (or 8200 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 18645412464 in words is "eighteen billion, six hundred forty-five million, four hundred twelve thousand, four hundred sixty-four".