339483573006400 has 63 divisors (see below), whose sum is σ = 835343580321309. Its totient is φ = 135793134401280.

The previous prime is 339483573006251. The next prime is 339483573006419. The reversal of 339483573006400 is 4600375384933.

The square root of 339483573006400 is 18425080.

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

It can be written as a sum of positive squares in only one way, i.e., 122214086282304 + 217269486724096 = 11055048^2 + 14740064^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 736772887 + ... + 737233513.

Almost surely, 2^{339483573006400} is an apocalyptic number.

339483573006400 is the 18425080-th square number.

It is an amenable number.

339483573006400 is an abundant number, since it is smaller than the sum of its proper divisors (495860007314909).

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

339483573006400 is an frugal number, since it uses more digits than its factorization.

339483573006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921276 (or 460634 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 55.

The spelling of 339483573006400 in words is "three hundred thirty-nine trillion, four hundred eighty-three billion, five hundred seventy-three million, six thousand, four hundred".