10091238048 has 324 divisors, whose sum is σ = 31605182154. Its totient is φ = 3053376000.

The previous prime is 10091238013. The next prime is 10091238049. The reversal of 10091238048 is 84083219001.

It can be written as a sum of positive squares in only one way, i.e., 6044751504 + 4046486544 = 77748^2 + 63612^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10091238049) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 99913198 + ... + 99913298.

Almost surely, 2^10091238048 is an apocalyptic number.

10091238048 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 10091238048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15802591077).

10091238048 is an abundant number, since it is smaller than the sum of its proper divisors (21513944106).

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

10091238048 is a wasteful number, since it uses less digits than its factorization.

10091238048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10091238048 in words is "ten billion, ninety-one million, two hundred thirty-eight thousand, forty-eight".