104854504656768 has 256 divisors, whose sum is σ = 305764321443840. Its totient is φ = 31734929571840.

The previous prime is 104854504656757. The next prime is 104854504656773. The reversal of 104854504656768 is 867656405458401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9485121 + ... + 17311167.

It is an arithmetic number, because the mean of its divisors is an integer number (1194391880640).

Almost surely, 2^{104854504656768} 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 104854504656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152882160721920).

104854504656768 is an abundant number, since it is smaller than the sum of its proper divisors (200909816787072).

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

104854504656768 is a wasteful number, since it uses less digits than its factorization.

104854504656768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7826165 (or 7826153 counting only the distinct ones).

The product of its (nonzero) digits is 774144000, while the sum is 69.

The spelling of 104854504656768 in words is "one hundred four trillion, eight hundred fifty-four billion, five hundred four million, six hundred fifty-six thousand, seven hundred sixty-eight".