258463464364852 has 96 divisors (see below), whose sum is σ = 464480265150720. Its totient is φ = 125804980224000.

The previous prime is 258463464364841. The next prime is 258463464364877.

It is a happy number.

258463464364852 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×258463464364852² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102524181352 + ... + 102524183872.

It is an arithmetic number, because the mean of its divisors is an integer number (4838336095320).

Almost surely, 2^{258463464364852} is an apocalyptic number.

It is an amenable number.

258463464364852 is a deficient number, since it is larger than the sum of its proper divisors (206016800785868).

258463464364852 is a wasteful number, since it uses less digits than its factorization.

258463464364852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6713 (or 6711 counting only the distinct ones).

The product of its digits is 3185049600, while the sum is 70.

The spelling of 258463464364852 in words is "two hundred fifty-eight trillion, four hundred sixty-three billion, four hundred sixty-four million, three hundred sixty-four thousand, eight hundred fifty-two".