1857338316964 has 243 divisors, whose sum is σ = 3839248497987. Its totient is φ = 785781988992.

The previous prime is 1857338316961. The next prime is 1857338316971. The reversal of 1857338316964 is 4696138337581.

The square root of 1857338316964 is 1362842.

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

It can be written as a sum of positive squares in 4 ways, for example, as 48205715364 + 1809132601600 = 219558^2 + 1345040^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1857338316896 and 1857338316905.

It is not an unprimeable number, because it can be changed into a prime (1857338316961) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35044119162 + ... + 35044119214.

Almost surely, 2^{1857338316964} is an apocalyptic number.

1857338316964 is the 1362842-nd square number.

It is an amenable number.

1857338316964 is an abundant number, since it is smaller than the sum of its proper divisors (1981910181023).

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

1857338316964 is a wasteful number, since it uses less digits than its factorization.

1857338316964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 134 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 64.

Multiplying 1857338316964 by its sum of digits (64), we get a square (118869652285696 = 10902736²).

The spelling of 1857338316964 in words is "one trillion, eight hundred fifty-seven billion, three hundred thirty-eight million, three hundred sixteen thousand, nine hundred sixty-four".