104365490688 has 240 divisors, whose sum is σ = 316668127776. Its totient is φ = 34308956160.

The previous prime is 104365490651. The next prime is 104365490689. The reversal of 104365490688 is 886094563401.

104365490688 is a `hidden beast` number, since 1 + 0 + 4 + 36 + 549 + 0 + 68 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (104365490689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9076623 + ... + 9088113.

Almost surely, 2^104365490688 is an apocalyptic number.

104365490688 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 104365490688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158334063888).

104365490688 is an abundant number, since it is smaller than the sum of its proper divisors (212302637088).

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

104365490688 is an frugal number, since it uses more digits than its factorization.

104365490688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11597 (or 11569 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 104365490688 in words is "one hundred four billion, three hundred sixty-five million, four hundred ninety thousand, six hundred eighty-eight".