15468267968 has 56 divisors (see below), whose sum is σ = 31091154480. Its totient is φ = 7634739200.

The previous prime is 15468267949. The next prime is 15468268003. The reversal of 15468267968 is 86976286451.

15468267968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15468267968.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2278403 + ... + 2285181.

Almost surely, 2^15468267968 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 15468267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15545577240).

15468267968 is an abundant number, since it is smaller than the sum of its proper divisors (15622886512).

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

15468267968 is a wasteful number, since it uses less digits than its factorization.

15468267968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7245 (or 7235 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 62.

The spelling of 15468267968 in words is "fifteen billion, four hundred sixty-eight million, two hundred sixty-seven thousand, nine hundred sixty-eight".