339831945363456 has 2448 divisors, whose sum is σ = 1284455870530560. Its totient is φ = 85721150914560.

The previous prime is 339831945363451. The next prime is 339831945363479. The reversal of 339831945363456 is 654363549138933.

339831945363456 is a `hidden beast` number, since 3 + 3 + 9 + 8 + 3 + 1 + 9 + 4 + 536 + 34 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (339831945363451) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1898502487975 + ... + 1898502488153.

Almost surely, 2^{339831945363456} is an apocalyptic number.

339831945363456 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 339831945363456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642227935265280).

339831945363456 is an abundant number, since it is smaller than the sum of its proper divisors (944623925167104).

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

339831945363456 is a wasteful number, since it uses less digits than its factorization.

339831945363456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 398 counting only the distinct ones).

The product of its digits is 2267481600, while the sum is 72.

The spelling of 339831945363456 in words is "three hundred thirty-nine trillion, eight hundred thirty-one billion, nine hundred forty-five million, three hundred sixty-three thousand, four hundred fifty-six".