854337884416 has 81 divisors (see below), whose sum is σ = 1749188051023. Its totient is φ = 416454410240.

The previous prime is 854337884377. The next prime is 854337884483. The reversal of 854337884416 is 614488733458.

The square root of 854337884416 is 924304.

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 762310594816 + 92027289600 = 873104^2 + 303360^2 .

It is a super-2 number, since 2×854337884416² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 606342720 + ... + 606344128.

Almost surely, 2^854337884416 is an apocalyptic number.

854337884416 is the 924304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 854337884416

854337884416 is an abundant number, since it is smaller than the sum of its proper divisors (894850166607).

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

854337884416 is an frugal number, since it uses more digits than its factorization.

854337884416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2916 (or 1452 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 61.

The spelling of 854337884416 in words is "eight hundred fifty-four billion, three hundred thirty-seven million, eight hundred eighty-four thousand, four hundred sixteen".