104466181248 has 1024 divisors, whose sum is σ = 386793792000. Its totient is φ = 27311800320.

The previous prime is 104466181189. The next prime is 104466181283. The reversal of 104466181248 is 842181664401.

104466181248 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 6 + 618 + 1 + 24 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 530285086 + ... + 530285282.

Almost surely, 2^104466181248 is an apocalyptic number.

104466181248 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 104466181248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193396896000).

104466181248 is an abundant number, since it is smaller than the sum of its proper divisors (282327610752).

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

104466181248 is a wasteful number, since it uses less digits than its factorization.

104466181248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 104466181248 in words is "one hundred four billion, four hundred sixty-six million, one hundred eighty-one thousand, two hundred forty-eight".