18397827906048 has 480 divisors, whose sum is σ = 57336989211216. Its totient is φ = 5657483280384.

The previous prime is 18397827906037. The next prime is 18397827906071. The reversal of 18397827906048 is 84060972879381.

18397827906048 is a `hidden beast` number, since 1 + 8 + 3 + 9 + 7 + 8 + 2 + 7 + 9 + 0 + 604 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 12757240905984 + 5640587000064 = 3571728^2 + 2374992^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7195081986 + ... + 7195084542.

Almost surely, 2^{18397827906048} is an apocalyptic number.

18397827906048 is a gapful number since it is divisible by the number (18) 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 18397827906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28668494605608).

18397827906048 is an abundant number, since it is smaller than the sum of its proper divisors (38939161305168).

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

18397827906048 is a wasteful number, since it uses less digits than its factorization.

18397827906048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4384 (or 4365 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 18397827906048 in words is "eighteen trillion, three hundred ninety-seven billion, eight hundred twenty-seven million, nine hundred six thousand, forty-eight".