18460443456 has 672 divisors, whose sum is σ = 70309800960. Its totient is φ = 4702924800.

The previous prime is 18460443433. The next prime is 18460443523. The reversal of 18460443456 is 65434406481.

18460443456 is a `hidden beast` number, since 1 + 8 + 4 + 604 + 4 + 34 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34122546 + ... + 34123086.

It is an arithmetic number, because the mean of its divisors is an integer number (104627680).

Almost surely, 2^18460443456 is an apocalyptic number.

18460443456 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 18460443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35154900480).

18460443456 is an abundant number, since it is smaller than the sum of its proper divisors (51849357504).

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

18460443456 is a wasteful number, since it uses less digits than its factorization.

18460443456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 18460443456 in words is "eighteen billion, four hundred sixty million, four hundred forty-three thousand, four hundred fifty-six".