104405234638848 has 1344 divisors, whose sum is σ = 346295958704640. Its totient is φ = 27576867225600.

The previous prime is 104405234638819. The next prime is 104405234638877. The reversal of 104405234638848 is 848836432504401.

It is an interprime number because it is at equal distance from previous prime (104405234638819) and next prime (104405234638877).

It is a junction number, because it is equal to n+sod(n) for n = 104405234638791 and 104405234638800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165459959493 + ... + 165459960123.

It is an arithmetic number, because the mean of its divisors is an integer number (257660683560).

Almost surely, 2^{104405234638848} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104405234638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173147979352320).

104405234638848 is an abundant number, since it is smaller than the sum of its proper divisors (241890724065792).

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

104405234638848 is a wasteful number, since it uses less digits than its factorization.

104405234638848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 60.

The spelling of 104405234638848 in words is "one hundred four trillion, four hundred five billion, two hundred thirty-four million, six hundred thirty-eight thousand, eight hundred forty-eight".