339044412096 has 448 divisors, whose sum is σ = 1113508771200. Its totient is φ = 100443635712.

The previous prime is 339044412061. The next prime is 339044412103. The reversal of 339044412096 is 690214440933.

339044412096 is a `hidden beast` number, since 33 + 90 + 4 + 441 + 2 + 0 + 96 = 666.

It is a super-2 number, since 2×339044412096² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 425400370 + ... + 425401166.

It is an arithmetic number, because the mean of its divisors is an integer number (2485510650).

Almost surely, 2^339044412096 is an apocalyptic number.

339044412096 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 339044412096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556754385600).

339044412096 is an abundant number, since it is smaller than the sum of its proper divisors (774464359104).

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

339044412096 is a wasteful number, since it uses less digits than its factorization.

339044412096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 339044412096 in words is "three hundred thirty-nine billion, forty-four million, four hundred twelve thousand, ninety-six".