338114834091 has 40 divisors (see below), whose sum is σ = 507500589024. Its totient is φ = 224332882560.

The previous prime is 338114834089. The next prime is 338114834107. The reversal of 338114834091 is 190438411833.

338114834091 is a `hidden beast` number, since 3 + 3 + 81 + 1 + 483 + 4 + 0 + 91 = 666.

It is not a de Polignac number, because 338114834091 - 2¹ = 338114834089 is a prime.

It is a super-2 number, since 2×338114834091² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338114834791) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61730845 + ... + 61736321.

Almost surely, 2^338114834091 is an apocalyptic number.

338114834091 is a deficient number, since it is larger than the sum of its proper divisors (169385754933).

338114834091 is a wasteful number, since it uses less digits than its factorization.

338114834091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8993 (or 8984 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 338114834091 in words is "three hundred thirty-eight billion, one hundred fourteen million, eight hundred thirty-four thousand, ninety-one".