339022613664 has 576 divisors, whose sum is σ = 1220043202560. Its totient is φ = 87113594880.

The previous prime is 339022613663. The next prime is 339022613693. The reversal of 339022613664 is 466316220933.

339022613664 is a `hidden beast` number, since 3 + 3 + 9 + 0 + 22 + 613 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×339022613664² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (339022613663) 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 95 ways as a sum of consecutive naturals, for example, 62930779 + ... + 62936165.

It is an arithmetic number, because the mean of its divisors is an integer number (2118130560).

Almost surely, 2^339022613664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339022613664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610021601280).

339022613664 is an abundant number, since it is smaller than the sum of its proper divisors (881020588896).

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

339022613664 is a wasteful number, since it uses less digits than its factorization.

339022613664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5513 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 339022613664 in words is "three hundred thirty-nine billion, twenty-two million, six hundred thirteen thousand, six hundred sixty-four".