15038807648268 has 96 divisors (see below), whose sum is σ = 36224703825408. Its totient is φ = 4852366041600.

The previous prime is 15038807648261. The next prime is 15038807648269. The reversal of 15038807648268 is 86284670883051.

It is a super-3 number, since 3×15038807648268³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15038807648199 and 15038807648208.

It is not an unprimeable number, because it can be changed into a prime (15038807648261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78630571 + ... + 78821597.

It is an arithmetic number, because the mean of its divisors is an integer number (377340664848).

Almost surely, 2^{15038807648268} is an apocalyptic number.

It is an amenable number.

15038807648268 is an abundant number, since it is smaller than the sum of its proper divisors (21185896177140).

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

15038807648268 is a wasteful number, since it uses less digits than its factorization.

15038807648268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191983 (or 191981 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 66.

The spelling of 15038807648268 in words is "fifteen trillion, thirty-eight billion, eight hundred seven million, six hundred forty-eight thousand, two hundred sixty-eight".