338829038145 has 80 divisors (see below), whose sum is σ = 655789614480. Its totient is φ = 166378323456.

The previous prime is 338829038087. The next prime is 338829038159. The reversal of 338829038145 is 541830928833.

338829038145 is a `hidden beast` number, since 3 + 388 + 2 + 90 + 38 + 145 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22989534129 + 315839504016 = 151623^2 + 561996^2 .

It is not a de Polignac number, because 338829038145 - 2⁹ = 338829037633 is a prime.

It is a super-2 number, since 2×338829038145² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 338829038091 and 338829038100.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1965367 + ... + 2130803.

It is an arithmetic number, because the mean of its divisors is an integer number (8197370181).

Almost surely, 2^338829038145 is an apocalyptic number.

It is an amenable number.

338829038145 is a deficient number, since it is larger than the sum of its proper divisors (316960576335).

338829038145 is a wasteful number, since it uses less digits than its factorization.

338829038145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165856 (or 165847 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 338829038145 in words is "three hundred thirty-eight billion, eight hundred twenty-nine million, thirty-eight thousand, one hundred forty-five".