18345665177856 has 729 divisors, whose sum is σ = 58517252801553. Its totient is φ = 5526335324160.

The previous prime is 18345665177783. The next prime is 18345665177911. The reversal of 18345665177856 is 65877156654381.

The square root of 18345665177856 is 4283184.

It is a perfect power (a square), and thus also a powerful number.

18345665177856 is a `hidden beast` number, since 1 + 8 + 3 + 4 + 56 + 6 + 517 + 7 + 8 + 56 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 15226852665600 + 3118812512256 = 3902160^2 + 1766016^2 .

It is a super-2 number, since 2×18345665177856² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 101357266086 + ... + 101357266266.

Almost surely, 2^{18345665177856} is an apocalyptic number.

18345665177856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18345665177856 is the 4283184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18345665177856

18345665177856 is an abundant number, since it is smaller than the sum of its proper divisors (40171587623697).

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

18345665177856 is an equidigital number, since it uses as much as digits as its factorization.

18345665177856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 232 counting only the distinct ones).

The product of its digits is 1016064000, while the sum is 72.

The spelling of 18345665177856 in words is "eighteen trillion, three hundred forty-five billion, six hundred sixty-five million, one hundred seventy-seven thousand, eight hundred fifty-six".