18904540741632 has 2560 divisors, whose sum is σ = 75199770455040. Its totient is φ = 4596663582720.

The previous prime is 18904540741589. The next prime is 18904540741657. The reversal of 18904540741632 is 23614704540981.

18904540741632 is a `hidden beast` number, since 1 + 8 + 90 + 4 + 540 + 7 + 4 + 1 + 6 + 3 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 227765551063 + ... + 227765551145.

It is an arithmetic number, because the mean of its divisors is an integer number (29374910334).

It is a 1-persistent number, because it is pandigital, but 2⋅18904540741632 = 37809081483264 is not.

Almost surely, 2^{18904540741632} is an apocalyptic number.

18904540741632 is a gapful number since it is divisible by the number (12) 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 18904540741632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37599885227520).

18904540741632 is an abundant number, since it is smaller than the sum of its proper divisors (56295229713408).

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

18904540741632 is an equidigital number, since it uses as much as digits as its factorization.

18904540741632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 18904540741632 in words is "eighteen trillion, nine hundred four billion, five hundred forty million, seven hundred forty-one thousand, six hundred thirty-two".