338463728735320 has 64 divisors (see below), whose sum is σ = 805846281431040. Its totient is φ = 127675233840000.

The previous prime is 338463728735291. The next prime is 338463728735351. The reversal of 338463728735320 is 23537827364833.

It is a happy number.

It is a super-2 number, since 2×338463728735320² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 2590747056 + ... + 2590877695.

It is an arithmetic number, because the mean of its divisors is an integer number (12591348147360).

Almost surely, 2^{338463728735320} is an apocalyptic number.

It is an amenable number.

338463728735320 is an abundant number, since it is smaller than the sum of its proper divisors (467382552695720).

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

338463728735320 is a wasteful number, since it uses less digits than its factorization.

338463728735320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181624856 (or 5181624852 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 64.

The spelling of 338463728735320 in words is "three hundred thirty-eight trillion, four hundred sixty-three billion, seven hundred twenty-eight million, seven hundred thirty-five thousand, three hundred twenty".