18160279974144 has 729 divisors, whose sum is σ = 67007928398229. Its totient is φ = 4712864808960.

The previous prime is 18160279974131. The next prime is 18160279974149. The reversal of 18160279974144 is 44147997206181.

The square root of 18160279974144 is 4261488.

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

18160279974144 is a `hidden beast` number, since 1 + 8 + 1 + 60 + 2 + 79 + 97 + 414 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14351974560000 + 3808305414144 = 3788400^2 + 1951488^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (18160279974149) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15750459072 + ... + 15750460224.

Almost surely, 2^{18160279974144} is an apocalyptic number.

18160279974144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18160279974144 is the 4261488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18160279974144

18160279974144 is an abundant number, since it is smaller than the sum of its proper divisors (48847648424085).

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

18160279974144 is an equidigital number, since it uses as much as digits as its factorization.

18160279974144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 18160279974144 in words is "eighteen trillion, one hundred sixty billion, two hundred seventy-nine million, nine hundred seventy-four thousand, one hundred forty-four".