18245667456 has 96 divisors (see below), whose sum is σ = 52856680500. Its totient is φ = 6041014272.

The previous prime is 18245667403. The next prime is 18245667457. The reversal of 18245667456 is 65476654281.

18245667456 is a `hidden beast` number, since 1 + 8 + 2 + 4 + 566 + 74 + 5 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17838273600 + 407393856 = 133560^2 + 20184^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (18245667457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118500 + ... + 224796.

Almost surely, 2^18245667456 is an apocalyptic number.

18245667456 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 18245667456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26428340250).

18245667456 is an abundant number, since it is smaller than the sum of its proper divisors (34611013044).

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

18245667456 is a wasteful number, since it uses less digits than its factorization.

18245667456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106466 (or 106451 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 18245667456 in words is "eighteen billion, two hundred forty-five million, six hundred sixty-seven thousand, four hundred fifty-six".