339648213744 has 400 divisors, whose sum is σ = 1202029255680. Its totient is φ = 90424926720.

The previous prime is 339648213727. The next prime is 339648213791. The reversal of 339648213744 is 447312846933.

It is a happy number.

339648213744 is a `hidden beast` number, since 3 + 3 + 96 + 482 + 1 + 3 + 74 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent 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 79 ways as a sum of consecutive naturals, for example, 10498297 + ... + 10530599.

Almost surely, 2^339648213744 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 339648213744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601014627840).

339648213744 is an abundant number, since it is smaller than the sum of its proper divisors (862381041936).

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

339648213744 is a wasteful number, since it uses less digits than its factorization.

339648213744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32410 (or 32395 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The spelling of 339648213744 in words is "three hundred thirty-nine billion, six hundred forty-eight million, two hundred thirteen thousand, seven hundred forty-four".