853698068844544 has 637 divisors, whose sum is σ = 2190888128562379. Its totient is φ = 332609637212160.

The previous prime is 853698068844521. The next prime is 853698068844557. The reversal of 853698068844544 is 445448860896358.

The square root of 853698068844544 is 29218112.

The cubic root of 853698068844544 is 94864.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 77608915349499 + ... + 77608915349509.

Almost surely, 2^{853698068844544} is an apocalyptic number.

853698068844544 is the 29218112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853698068844544

853698068844544 is an abundant number, since it is smaller than the sum of its proper divisors (1337190059717835).

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

853698068844544 is an frugal number, since it uses more digits than its factorization.

853698068844544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 25480396800, while the sum is 82.

The spelling of 853698068844544 in words is "eight hundred fifty-three trillion, six hundred ninety-eight billion, sixty-eight million, eight hundred forty-four thousand, five hundred forty-four".