258013881468 has 96 divisors (see below), whose sum is σ = 804721702400. Its totient is φ = 69838339968.

The previous prime is 258013881467. The next prime is 258013881497. The reversal of 258013881468 is 864188310852.

258013881468 is a `hidden beast` number, since 2 + 580 + 13 + 8 + 8 + 1 + 46 + 8 = 666.

258013881468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (258013881467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8966905 + ... + 8995632.

Almost surely, 2^258013881468 is an apocalyptic number.

258013881468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

258013881468 is an abundant number, since it is smaller than the sum of its proper divisors (546707820932).

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

258013881468 is a wasteful number, since it uses less digits than its factorization.

258013881468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17962576 (or 17962568 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 258013881468 in words is "two hundred fifty-eight billion, thirteen million, eight hundred eighty-one thousand, four hundred sixty-eight".