338958958238208 has 5760 divisors, whose sum is σ = 1428108701859840. Its totient is φ = 78219045273600.

The previous prime is 338958958238191. The next prime is 338958958238237. The reversal of 338958958238208 is 802832859859833.

338958958238208 is a `hidden beast` number, since 3 + 3 + 8 + 9 + 5 + 8 + 9 + 582 + 3 + 8 + 20 + 8 = 666.

It is a super-2 number, since 2×338958958238208² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2668968175041 + ... + 2668968175167.

Almost surely, 2^{338958958238208} is an apocalyptic number.

338958958238208 is a gapful number since it is divisible by the number (38) 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 338958958238208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714054350929920).

338958958238208 is an abundant number, since it is smaller than the sum of its proper divisors (1089149743621632).

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

338958958238208 is a wasteful number, since it uses less digits than its factorization.

338958958238208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 7166361600, while the sum is 81.

The spelling of 338958958238208 in words is "three hundred thirty-eight trillion, nine hundred fifty-eight billion, nine hundred fifty-eight million, two hundred thirty-eight thousand, two hundred eight".