104641834752 has 1296 divisors, whose sum is σ = 406107741312. Its totient is φ = 25639649280.

The previous prime is 104641834727. The next prime is 104641834769. The reversal of 104641834752 is 257438146401.

104641834752 is a `hidden beast` number, since 1 + 0 + 464 + 183 + 4 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104641834698 and 104641834707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2226421993 + ... + 2226422039.

Almost surely, 2^104641834752 is an apocalyptic number.

104641834752 is a gapful number since it is divisible by the number (12) 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 104641834752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203053870656).

104641834752 is an abundant number, since it is smaller than the sum of its proper divisors (301465906560).

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

104641834752 is a wasteful number, since it uses less digits than its factorization.

104641834752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 104641834752 in words is "one hundred four billion, six hundred forty-one million, eight hundred thirty-four thousand, seven hundred fifty-two".