104343609811968 has 880 divisors, whose sum is σ = 350664396001920. Its totient is φ = 30710439346176.

The previous prime is 104343609811937. The next prime is 104343609811993. The reversal of 104343609811968 is 869118906343401.

104343609811968 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 4 + 3 + 609 + 8 + 1 + 19 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2759445030 + ... + 2759482842.

It is an arithmetic number, because the mean of its divisors is an integer number (398482268184).

Almost surely, 2^{104343609811968} is an apocalyptic number.

104343609811968 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 104343609811968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175332198000960).

104343609811968 is an abundant number, since it is smaller than the sum of its proper divisors (246320786189952).

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

104343609811968 is a wasteful number, since it uses less digits than its factorization.

104343609811968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37984 (or 37957 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 104343609811968 in words is "one hundred four trillion, three hundred forty-three billion, six hundred nine million, eight hundred eleven thousand, nine hundred sixty-eight".