104847348594240 has 560 divisors, whose sum is σ = 448674257539200. Its totient is φ = 22703786016768.

The previous prime is 104847348594143. The next prime is 104847348594293. The reversal of 104847348594240 is 42495843748401.

104847348594240 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 4 + 7 + 34 + 8 + 594 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×104847348594240² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 79 ways as a sum of consecutive naturals, for example, 11759545 + ... + 18654264.

It is an arithmetic number, because the mean of its divisors is an integer number (801204031320).

Almost surely, 2^{104847348594240} is an apocalyptic number.

104847348594240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104847348594240 is an abundant number, since it is smaller than the sum of its proper divisors (343826908944960).

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

104847348594240 is a wasteful number, since it uses less digits than its factorization.

104847348594240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30413864 (or 30413845 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 104847348594240 in words is "one hundred four trillion, eight hundred forty-seven billion, three hundred forty-eight million, five hundred ninety-four thousand, two hundred forty".