339377314752 has 1512 divisors, whose sum is σ = 1320196235904. Its totient is φ = 85990367232.

The previous prime is 339377314699. The next prime is 339377314753. The reversal of 339377314752 is 257413773933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339377314753) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 5065333023 + ... + 5065333089.

Almost surely, 2^339377314752 is an apocalyptic number.

339377314752 is a gapful number since it is divisible by the number (32) 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 339377314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660098117952).

339377314752 is an abundant number, since it is smaller than the sum of its proper divisors (980818921152).

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

339377314752 is a wasteful number, since it uses less digits than its factorization.

339377314752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 119 counting only the distinct ones).

The product of its digits is 10001880, while the sum is 54.

The spelling of 339377314752 in words is "three hundred thirty-nine billion, three hundred seventy-seven million, three hundred fourteen thousand, seven hundred fifty-two".