338507439744 has 128 divisors (see below), whose sum is σ = 949958150400. Its totient is φ = 106626781184.

The previous prime is 338507439713. The next prime is 338507439799. The reversal of 338507439744 is 447934705833.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×338507439744² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200014 + ... + 846770.

It is an arithmetic number, because the mean of its divisors is an integer number (7421548050).

Almost surely, 2^338507439744 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 338507439744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474979075200).

338507439744 is an abundant number, since it is smaller than the sum of its proper divisors (611450710656).

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

338507439744 is a wasteful number, since it uses less digits than its factorization.

338507439744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646850 (or 646838 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 57.

The spelling of 338507439744 in words is "three hundred thirty-eight billion, five hundred seven million, four hundred thirty-nine thousand, seven hundred forty-four".