258354453852 has 96 divisors (see below), whose sum is σ = 733891065600. Its totient is φ = 77947272000.

The previous prime is 258354453703. The next prime is 258354453853.

258354453852 is a `hidden beast` number, since 2 + 5 + 8 + 3 + 54 + 4 + 538 + 52 = 666.

258354453852 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258354453853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202774 + ... + 746877.

It is an arithmetic number, because the mean of its divisors is an integer number (7644698600).

Almost surely, 2^258354453852 is an apocalyptic number.

258354453852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

258354453852 is an abundant number, since it is smaller than the sum of its proper divisors (475536611748).

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

258354453852 is a wasteful number, since it uses less digits than its factorization.

258354453852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949904 (or 949896 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

The spelling of 258354453852 in words is "two hundred fifty-eight billion, three hundred fifty-four million, four hundred fifty-three thousand, eight hundred fifty-two".