339801993216 has 416 divisors, whose sum is σ = 1164930572800. Its totient is φ = 97068367872.

The previous prime is 339801993173. The next prime is 339801993233. The reversal of 339801993216 is 612399108933.

It is a happy number.

339801993216 is a `hidden beast` number, since 339 + 8 + 0 + 1 + 9 + 93 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62702955 + ... + 62708373.

Almost surely, 2^339801993216 is an apocalyptic number.

339801993216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339801993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582465286400).

339801993216 is an abundant number, since it is smaller than the sum of its proper divisors (825128579584).

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

339801993216 is an frugal number, since it uses more digits than its factorization.

339801993216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 339801993216 in words is "three hundred thirty-nine billion, eight hundred one million, nine hundred ninety-three thousand, two hundred sixteen".