10081228248 has 384 divisors, whose sum is σ = 35590464000. Its totient is φ = 2656499328.

The previous prime is 10081228243. The next prime is 10081228249. The reversal of 10081228248 is 84282218001.

10081228248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10081228243) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 8667715 + ... + 8668877.

It is an arithmetic number, because the mean of its divisors is an integer number (92683500).

Almost surely, 2^10081228248 is an apocalyptic number.

10081228248 is a gapful number since it is divisible by the number (18) 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 10081228248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17795232000).

10081228248 is an abundant number, since it is smaller than the sum of its proper divisors (25509235752).

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

10081228248 is a wasteful number, since it uses less digits than its factorization.

10081228248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The spelling of 10081228248 in words is "ten billion, eighty-one million, two hundred twenty-eight thousand, two hundred forty-eight".