339609464822016 has 243 divisors, whose sum is σ = 982738335446049. Its totient is φ = 112793010333696.

The previous prime is 339609464821997. The next prime is 339609464822029. The reversal of 339609464822016 is 610228464906933.

The square root of 339609464822016 is 18428496.

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

339609464822016 is a `hidden beast` number, since 3 + 3 + 9 + 60 + 9 + 464 + 82 + 20 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 670171449600 + 338939293372416 = 818640^2 + 18410304^2 .

It is a super-2 number, since 2×339609464822016² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 335251198726 + ... + 335251199738.

Almost surely, 2^{339609464822016} is an apocalyptic number.

339609464822016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

339609464822016 is the 18428496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339609464822016

339609464822016 is an abundant number, since it is smaller than the sum of its proper divisors (643128870624033).

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

339609464822016 is an frugal number, since it uses more digits than its factorization.

339609464822016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 339609464822016 in words is "three hundred thirty-nine trillion, six hundred nine billion, four hundred sixty-four million, eight hundred twenty-two thousand, sixteen".