104199761166336 has 736 divisors, whose sum is σ = 339195001766400. Its totient is φ = 31352590172160.

The previous prime is 104199761166257. The next prime is 104199761166341. The reversal of 104199761166336 is 633661167991401.

104199761166336 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 9 + 9 + 7 + 611 + 6 + 6 + 3 + 3 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290250030925 + ... + 290250031283.

Almost surely, 2^{104199761166336} is an apocalyptic number.

104199761166336 is a gapful number since it is divisible by the number (16) 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 104199761166336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169597500883200).

104199761166336 is an abundant number, since it is smaller than the sum of its proper divisors (234995240600064).

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

104199761166336 is an frugal number, since it uses more digits than its factorization.

104199761166336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 104199761166336 in words is "one hundred four trillion, one hundred ninety-nine billion, seven hundred sixty-one million, one hundred sixty-six thousand, three hundred thirty-six".