18456440841216 has 495 divisors, whose sum is σ = 64142932957587. Its totient is φ = 5270794260480.

The previous prime is 18456440841197. The next prime is 18456440841253. The reversal of 18456440841216 is 61214804465481.

The square root of 18456440841216 is 4296096.

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

18456440841216 is a `hidden beast` number, since 18 + 4 + 5 + 6 + 4 + 408 + 4 + 1 + 216 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8660928471 + ... + 8660930601.

Almost surely, 2^{18456440841216} is an apocalyptic number.

18456440841216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18456440841216 is the 4296096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18456440841216

18456440841216 is an abundant number, since it is smaller than the sum of its proper divisors (45686492116371).

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

18456440841216 is an frugal number, since it uses more digits than its factorization.

18456440841216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 18456440841216 in words is "eighteen trillion, four hundred fifty-six billion, four hundred forty million, eight hundred forty-one thousand, two hundred sixteen".