1859415868816 has 135 divisors (see below), whose sum is σ = 4208848986433. Its totient is φ = 795035676160.

The previous prime is 1859415868811. The next prime is 1859415868831. The reversal of 1859415868816 is 6188685149581.

It is a happy number.

The square root of 1859415868816 is 1363604.

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

It can be written as a sum of positive squares in only one way, i.e., 1447642112400 + 411773756416 = 1203180^2 + 641696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1859415868811) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1019974881 + ... + 1019976703.

Almost surely, 2^{1859415868816} is an apocalyptic number.

1859415868816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1859415868816 is the 1363604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1859415868816

1859415868816 is an abundant number, since it is smaller than the sum of its proper divisors (2349433117617).

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

1859415868816 is an equidigital number, since it uses as much as digits as its factorization.

1859415868816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3710 (or 1853 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 70.

The spelling of 1859415868816 in words is "one trillion, eight hundred fifty-nine billion, four hundred fifteen million, eight hundred sixty-eight thousand, eight hundred sixteen".