104434447648500 has 288 divisors, whose sum is σ = 344115966579840. Its totient is φ = 27648827712000.

The previous prime is 104434447648493. The next prime is 104434447648523. The reversal of 104434447648500 is 5846744434401.

It is a happy number.

104434447648500 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 34 + 4 + 47 + 64 + 8 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13796620 + ... + 19980380.

It is an arithmetic number, because the mean of its divisors is an integer number (1194847106180).

Almost surely, 2^{104434447648500} is an apocalyptic number.

104434447648500 is a gapful number since it is divisible by the number (10) 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 104434447648500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172057983289920).

104434447648500 is an abundant number, since it is smaller than the sum of its proper divisors (239681518931340).

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

104434447648500 is a wasteful number, since it uses less digits than its factorization.

104434447648500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183934 (or 6183910 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 104434447648500 in words is "one hundred four trillion, four hundred thirty-four billion, four hundred forty-seven million, six hundred forty-eight thousand, five hundred".