258434602191 has 32 divisors (see below), whose sum is σ = 407874769920. Its totient is φ = 161160181632.

The previous prime is 258434602183. The next prime is 258434602207. The reversal of 258434602191 is 191206434852.

258434602191 is a `hidden beast` number, since 2 + 5 + 8 + 4 + 34 + 602 + 1 + 9 + 1 = 666.

It is not a de Polignac number, because 258434602191 - 2³ = 258434602183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258434602291) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1652295 + ... + 1801928.

It is an arithmetic number, because the mean of its divisors is an integer number (12746086560).

Almost surely, 2^258434602191 is an apocalyptic number.

258434602191 is a deficient number, since it is larger than the sum of its proper divisors (149440167729).

258434602191 is a wasteful number, since it uses less digits than its factorization.

258434602191 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454412 (or 3454406 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 258434602191 in words is "two hundred fifty-eight billion, four hundred thirty-four million, six hundred two thousand, one hundred ninety-one".