104488463047584 has 144 divisors (see below), whose sum is σ = 348068711493216. Its totient is φ = 27139860518400.

The previous prime is 104488463047571. The next prime is 104488463047597. The reversal of 104488463047584 is 485740364884401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104488463047571) and next prime (104488463047597).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009615687 + ... + 1009719174.

It is an arithmetic number, because the mean of its divisors is an integer number (2417143829814).

Almost surely, 2^{104488463047584} is an apocalyptic number.

104488463047584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

104488463047584 is an abundant number, since it is smaller than the sum of its proper divisors (243580248445632).

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

104488463047584 is a wasteful number, since it uses less digits than its factorization.

104488463047584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2019334899 (or 2019334884 counting only the distinct ones).

The product of its (nonzero) digits is 330301440, while the sum is 66.

The spelling of 104488463047584 in words is "one hundred four trillion, four hundred eighty-eight billion, four hundred sixty-three million, forty-seven thousand, five hundred eighty-four".