104874046464 has 264 divisors, whose sum is σ = 321870738528. Its totient is φ = 30103879680.

The previous prime is 104874046463. The next prime is 104874046471. The reversal of 104874046464 is 464640478401.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104874046463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12194614 + ... + 12203210.

Almost surely, 2^104874046464 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 104874046464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160935369264).

104874046464 is an abundant number, since it is smaller than the sum of its proper divisors (216996692064).

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

104874046464 is a wasteful number, since it uses less digits than its factorization.

104874046464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8669 (or 8632 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 104874046464 in words is "one hundred four billion, eight hundred seventy-four million, forty-six thousand, four hundred sixty-four".