104165648301888 has 280 divisors, whose sum is σ = 309609933085728. Its totient is φ = 34628583435264.

The previous prime is 104165648301863. The next prime is 104165648301893. The reversal of 104165648301888 is 888103846561401.

It is a happy number.

104165648301888 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 65 + 6 + 483 + 0 + 18 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6184498395 + ... + 6184515237.

Almost surely, 2^{104165648301888} is an apocalyptic number.

104165648301888 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 104165648301888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154804966542864).

104165648301888 is an abundant number, since it is smaller than the sum of its proper divisors (205444284783840).

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

104165648301888 is a wasteful number, since it uses less digits than its factorization.

104165648301888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20003 (or 19984 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 104165648301888 in words is "one hundred four trillion, one hundred sixty-five billion, six hundred forty-eight million, three hundred one thousand, eight hundred eighty-eight".