104634445824 has 624 divisors, whose sum is σ = 338019635200. Its totient is φ = 31054233600.

The previous prime is 104634445807. The next prime is 104634445897. The reversal of 104634445824 is 428544436401.

It is a happy number.

104634445824 is a `hidden beast` number, since 1 + 0 + 4 + 63 + 4 + 4 + 4 + 582 + 4 = 666.

It is a super-3 number, since 3×104634445824³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104634445824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1324486617 + ... + 1324486695.

Almost surely, 2^104634445824 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 104634445824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169009817600).

104634445824 is an abundant number, since it is smaller than the sum of its proper divisors (233385189376).

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

104634445824 is a wasteful number, since it uses less digits than its factorization.

104634445824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 104634445824 in words is "one hundred four billion, six hundred thirty-four million, four hundred forty-five thousand, eight hundred twenty-four".