339111378816 has 768 divisors, whose sum is σ = 1140754944000. Its totient is φ = 89115586560.

The previous prime is 339111378761. The next prime is 339111378817. The reversal of 339111378816 is 618873111933.

It is a super-2 number, since 2×339111378816² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (339111378817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2159945010 + ... + 2159945166.

It is an arithmetic number, because the mean of its divisors is an integer number (1485358000).

Almost surely, 2^339111378816 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 339111378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570377472000).

339111378816 is an abundant number, since it is smaller than the sum of its proper divisors (801643565184).

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

339111378816 is a wasteful number, since it uses less digits than its factorization.

339111378816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 223 counting only the distinct ones).

The product of its digits is 653184, while the sum is 51.

The spelling of 339111378816 in words is "three hundred thirty-nine billion, one hundred eleven million, three hundred seventy-eight thousand, eight hundred sixteen".