104744611335168 has 528 divisors, whose sum is σ = 347021855072256. Its totient is φ = 29808879206400.

The previous prime is 104744611335137. The next prime is 104744611335191. The reversal of 104744611335168 is 861533116447401.

It is a happy number.

104744611335168 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 4 + 4 + 6 + 113 + 3 + 516 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21817246368 + ... + 21817251168.

Almost surely, 2^{104744611335168} is an apocalyptic number.

104744611335168 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 104744611335168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173510927536128).

104744611335168 is an abundant number, since it is smaller than the sum of its proper divisors (242277243737088).

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

104744611335168 is a wasteful number, since it uses less digits than its factorization.

104744611335168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6100 (or 6079 counting only the distinct ones).

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

The spelling of 104744611335168 in words is "one hundred four trillion, seven hundred forty-four billion, six hundred eleven million, three hundred thirty-five thousand, one hundred sixty-eight".