104508259224864 has 192 divisors, whose sum is σ = 308941783879680. Its totient is φ = 30646180224000.

The previous prime is 104508259224799. The next prime is 104508259224877. The reversal of 104508259224864 is 468422952805401.

It is a happy number.

It is a super-2 number, since 2×104508259224864² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104508259224798 and 104508259224807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 875006302 + ... + 875125730.

It is an arithmetic number, because the mean of its divisors is an integer number (1609071791040).

Almost surely, 2^{104508259224864} 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 104508259224864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154470891939840).

104508259224864 is an abundant number, since it is smaller than the sum of its proper divisors (204433524654816).

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

104508259224864 is a wasteful number, since it uses less digits than its factorization.

104508259224864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146215 (or 146207 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 60.

The spelling of 104508259224864 in words is "one hundred four trillion, five hundred eight billion, two hundred fifty-nine million, two hundred twenty-four thousand, eight hundred sixty-four".