104646276864 has 360 divisors, whose sum is σ = 319107317760. Its totient is φ = 34101430272.

The previous prime is 104646276857. The next prime is 104646276893. The reversal of 104646276864 is 468672646401.

It is a happy number.

104646276864 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 4 + 627 + 6 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×104646276864² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 104646276864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208044037 + ... + 208044539.

It is an arithmetic number, because the mean of its divisors is an integer number (886409216).

Almost surely, 2^104646276864 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 104646276864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159553658880).

104646276864 is an abundant number, since it is smaller than the sum of its proper divisors (214461040896).

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

104646276864 is an equidigital number, since it uses as much as digits as its factorization.

104646276864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 104646276864 in words is "one hundred four billion, six hundred forty-six million, two hundred seventy-six thousand, eight hundred sixty-four".