104134178465928 has 512 divisors, whose sum is σ = 332360766259200. Its totient is φ = 29982221798400.

The previous prime is 104134178465921. The next prime is 104134178466001. The reversal of 104134178465928 is 829564871431401.

It is a happy number.

104134178465928 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 34 + 1 + 7 + 8 + 4 + 6 + 592 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (104134178465921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 339420918 + ... + 339727578.

It is an arithmetic number, because the mean of its divisors is an integer number (649142121600).

It is a 1-persistent number, because it is pandigital, but 2⋅104134178465928 = 208268356931856 is not.

Almost surely, 2^{104134178465928} is an apocalyptic number.

104134178465928 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 104134178465928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166180383129600).

104134178465928 is an abundant number, since it is smaller than the sum of its proper divisors (228226587793272).

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

104134178465928 is a wasteful number, since it uses less digits than its factorization.

104134178465928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306850 (or 306840 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 104134178465928 in words is "one hundred four trillion, one hundred thirty-four billion, one hundred seventy-eight million, four hundred sixty-five thousand, nine hundred twenty-eight".