10248671136 has 192 divisors, whose sum is σ = 32711454720. Its totient is φ = 2769039360.

The previous prime is 10248671123. The next prime is 10248671141. The reversal of 10248671136 is 63117684201.

10248671136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10248671094 and 10248671103.

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 31 ways as a sum of consecutive naturals, for example, 326065 + ... + 356111.

It is an arithmetic number, because the mean of its divisors is an integer number (170372160).

Almost surely, 2^10248671136 is an apocalyptic number.

10248671136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10248671136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16355727360).

10248671136 is an abundant number, since it is smaller than the sum of its proper divisors (22462783584).

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

10248671136 is a wasteful number, since it uses less digits than its factorization.

10248671136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30107 (or 30099 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 10248671136 in words is "ten billion, two hundred forty-eight million, six hundred seventy-one thousand, one hundred thirty-six".