18459657216 has 1408 divisors, whose sum is σ = 79233638400. Its totient is φ = 4087480320.

The previous prime is 18459657173. The next prime is 18459657217. The reversal of 18459657216 is 61275695481.

It is a happy number.

18459657216 is a `hidden beast` number, since 1 + 8 + 4 + 59 + 6 + 572 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3628800) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (18459657217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 636539890 + ... + 636539918.

Almost surely, 2^18459657216 is an apocalyptic number.

18459657216 is a gapful number since it is divisible by the number (16) 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 18459657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39616819200).

18459657216 is an abundant number, since it is smaller than the sum of its proper divisors (60773981184).

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

18459657216 is a wasteful number, since it uses less digits than its factorization.

18459657216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 54.

The spelling of 18459657216 in words is "eighteen billion, four hundred fifty-nine million, six hundred fifty-seven thousand, two hundred sixteen".