104278022347248 has 320 divisors, whose sum is σ = 339640610181120. Its totient is φ = 30446556991488.

The previous prime is 104278022347199. The next prime is 104278022347253. The reversal of 104278022347248 is 842743220872401.

104278022347248 is a `hidden beast` number, since 1 + 0 + 4 + 278 + 0 + 2 + 2 + 347 + 24 + 8 = 666.

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 = 104278022347194 and 104278022347203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2092840 + ... + 14592327.

It is an arithmetic number, because the mean of its divisors is an integer number (1061376906816).

Almost surely, 2^{104278022347248} is an apocalyptic number.

104278022347248 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 104278022347248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169820305090560).

104278022347248 is an abundant number, since it is smaller than the sum of its proper divisors (235362587833872).

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

104278022347248 is a wasteful number, since it uses less digits than its factorization.

104278022347248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16685261 (or 16685249 counting only the distinct ones).

The product of its (nonzero) digits is 9633792, while the sum is 54.

The spelling of 104278022347248 in words is "one hundred four trillion, two hundred seventy-eight billion, twenty-two million, three hundred forty-seven thousand, two hundred forty-eight".