104162810830848 has 2688 divisors, whose sum is σ = 404835012771840. Its totient is φ = 25887375360000.

The previous prime is 104162810830831. The next prime is 104162810830867. The reversal of 104162810830848 is 848038018261401.

104162810830848 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 628 + 1 + 0 + 8 + 3 + 0 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 104162810830794 and 104162810830803.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 545355030433 + ... + 545355030623.

It is an arithmetic number, because the mean of its divisors is an integer number (150608263680).

Almost surely, 2^{104162810830848} is an apocalyptic number.

104162810830848 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 104162810830848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202417506385920).

104162810830848 is an abundant number, since it is smaller than the sum of its proper divisors (300672201940992).

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

104162810830848 is a wasteful number, since it uses less digits than its factorization.

104162810830848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 104162810830848 in words is "one hundred four trillion, one hundred sixty-two billion, eight hundred ten million, eight hundred thirty thousand, eight hundred forty-eight".