104719548816 has 225 divisors, whose sum is σ = 309597536083. Its totient is φ = 34172582400.

The previous prime is 104719548809. The next prime is 104719548851. The reversal of 104719548816 is 618845917401.

The square root of 104719548816 is 323604.

It is a perfect power (a square), and thus also a powerful number.

104719548816 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 19 + 548 + 81 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6625308816 + 98094240000 = 81396^2 + 313200^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1036827166 + ... + 1036827266.

Almost surely, 2^104719548816 is an apocalyptic number.

104719548816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

104719548816 is the 323604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104719548816

104719548816 is an abundant number, since it is smaller than the sum of its proper divisors (204877987267).

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

104719548816 is an frugal number, since it uses more digits than its factorization.

104719548816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 104719548816 in words is "one hundred four billion, seven hundred nineteen million, five hundred forty-eight thousand, eight hundred sixteen".