338361129990 has 96 divisors (see below), whose sum is σ = 954327026016. Its totient is φ = 82680906240.

The previous prime is 338361129947. The next prime is 338361130001. The reversal of 338361129990 is 99921163833.

It is a happy number.

338361129990 is a `hidden beast` number, since 338 + 3 + 6 + 11 + 299 + 9 + 0 = 666.

It is a super-2 number, since 2×338361129990² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 895176 + ... + 1215755.

It is an arithmetic number, because the mean of its divisors is an integer number (9940906521).

Almost surely, 2^338361129990 is an apocalyptic number.

338361129990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

338361129990 is an abundant number, since it is smaller than the sum of its proper divisors (615965896026).

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

338361129990 is a wasteful number, since it uses less digits than its factorization.

338361129990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111094 (or 2111091 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 338361129990 in words is "three hundred thirty-eight billion, three hundred sixty-one million, one hundred twenty-nine thousand, nine hundred ninety".