18350938851840 has 2880 divisors, whose sum is σ = 80488011187584. Its totient is φ = 3991090102272.

The previous prime is 18350938851829. The next prime is 18350938851871. The reversal of 18350938851840 is 4815883905381.

18350938851840 is a `hidden beast` number, since 1 + 8 + 3 + 509 + 3 + 8 + 85 + 1 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 59775044967 + ... + 59775045273.

Almost surely, 2^{18350938851840} is an apocalyptic number.

18350938851840 is a gapful number since it is divisible by the number (10) 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 18350938851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40244005593792).

18350938851840 is an abundant number, since it is smaller than the sum of its proper divisors (62137072335744).

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

18350938851840 is an equidigital number, since it uses as much as digits as its factorization.

18350938851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 18350938851840 in words is "eighteen trillion, three hundred fifty billion, nine hundred thirty-eight million, eight hundred fifty-one thousand, eight hundred forty".