1258763168 has 48 divisors (see below), whose sum is σ = 2684949120. Its totient is φ = 577456896.

The previous prime is 1258763137. The next prime is 1258763201. The reversal of 1258763168 is 8613678521.

It is a super-2 number, since 2×1258763168² = 3168969426226792448, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60413 + ... + 78531.

It is an arithmetic number, because the mean of its divisors is an integer number (55936440).

Almost surely, 2^1258763168 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 1258763168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342474560).

1258763168 is an abundant number, since it is smaller than the sum of its proper divisors (1426185952).

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

1258763168 is a wasteful number, since it uses less digits than its factorization.

1258763168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18309 (or 18301 counting only the distinct ones).

The product of its digits is 483840, while the sum is 47.

The square root of 1258763168 is about 35479.0525239894. The cubic root of 1258763168 is about 1079.7287750560.

The spelling of 1258763168 in words is "one billion, two hundred fifty-eight million, seven hundred sixty-three thousand, one hundred sixty-eight".