258436683763968 has 576 divisors, whose sum is σ = 724703620838400. Its totient is φ = 81679535308800.

The previous prime is 258436683763967. The next prime is 258436683763969. The reversal of 258436683763968 is 869367386634852.

258436683763968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (258436683763967) and next prime (258436683763969).

It is not an unprimeable number, because it can be changed into a prime (258436683763967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80036134578 + ... + 80036137806.

It is an arithmetic number, because the mean of its divisors is an integer number (1258166008400).

Almost surely, 2^{258436683763968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258436683763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362351810419200).

258436683763968 is an abundant number, since it is smaller than the sum of its proper divisors (466266937074432).

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

258436683763968 is a wasteful number, since it uses less digits than its factorization.

258436683763968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3804 counting only the distinct ones).

The product of its digits is 45148078080, while the sum is 84.

The spelling of 258436683763968 in words is "two hundred fifty-eight trillion, four hundred thirty-six billion, six hundred eighty-three million, seven hundred sixty-three thousand, nine hundred sixty-eight".