104648419639296 has 952 divisors, whose sum is σ = 340278314669720. Its totient is φ = 32167217332224.

The previous prime is 104648419639237. The next prime is 104648419639303. The reversal of 104648419639296 is 692936914846401.

It is a happy number.

104648419639296 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 48 + 4 + 196 + 392 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14716123545600 + 89932296093696 = 3836160^2 + 9483264^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 104963309070 + ... + 104963310066.

It is an arithmetic number, because the mean of its divisors is an integer number (357435204485).

Almost surely, 2^{104648419639296} is an apocalyptic number.

104648419639296 is a gapful number since it is divisible by the number (16) 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 104648419639296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170139157334860).

104648419639296 is an abundant number, since it is smaller than the sum of its proper divisors (235629895030424).

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

104648419639296 is an frugal number, since it uses more digits than its factorization.

104648419639296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 104648419639296 in words is "one hundred four trillion, six hundred forty-eight billion, four hundred nineteen million, six hundred thirty-nine thousand, two hundred ninety-six".