338129765173242 has 128 divisors (see below), whose sum is σ = 901468094054400. Its totient is φ = 91907488900800.

The previous prime is 338129765173201. The next prime is 338129765173243. The reversal of 338129765173242 is 242371567921833.

338129765173242 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 2 + 9 + 76 + 517 + 3 + 2 + 42 = 666.

It is a super-2 number, since 2×338129765173242² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 338129765173242.

It is not an unprimeable number, because it can be changed into a prime (338129765173243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243847509 + ... + 245230232.

It is an arithmetic number, because the mean of its divisors is an integer number (7042719484800).

Almost surely, 2^{338129765173242} is an apocalyptic number.

338129765173242 is an abundant number, since it is smaller than the sum of its proper divisors (563338328881158).

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

338129765173242 is a wasteful number, since it uses less digits than its factorization.

338129765173242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489077849 (or 489077843 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 338129765173242 in words is "three hundred thirty-eight trillion, one hundred twenty-nine billion, seven hundred sixty-five million, one hundred seventy-three thousand, two hundred forty-two".