104359189978368 has 1728 divisors, whose sum is σ = 364209824079360. Its totient is φ = 29377304985600.

The previous prime is 104359189978273. The next prime is 104359189978369. The reversal of 104359189978368 is 863879981953401.

104359189978368 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 5 + 9 + 189 + 9 + 78 + 368 = 666.

104359189978368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×104359189978368² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104359189978369) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60638691748 + ... + 60638693468.

It is an arithmetic number, because the mean of its divisors is an integer number (210769574120).

Almost surely, 2^{104359189978368} is an apocalyptic number.

104359189978368 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 104359189978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182104912039680).

104359189978368 is an abundant number, since it is smaller than the sum of its proper divisors (259850634100992).

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

104359189978368 is a wasteful number, since it uses less digits than its factorization.

104359189978368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 2821754880, while the sum is 81.

The spelling of 104359189978368 in words is "one hundred four trillion, three hundred fifty-nine billion, one hundred eighty-nine million, nine hundred seventy-eight thousand, three hundred sixty-eight".