10081244216232 has 256 divisors, whose sum is σ = 32367867840000. Its totient is φ = 2847718010880.

The previous prime is 10081244216227. The next prime is 10081244216233. The reversal of 10081244216232 is 23261244218001.

10081244216232 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 1 + 2 + 4 + 4 + 21 + 623 + 2 = 666.

It is a super-2 number, since 2×10081244216232² (a number of 27 digits) contains 22 as substring.

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 (10081244216233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75910144 + ... + 76042832.

It is an arithmetic number, because the mean of its divisors is an integer number (126436983750).

Almost surely, 2^{10081244216232} is an apocalyptic number.

10081244216232 is a gapful number since it is divisible by the number (12) 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 10081244216232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16183933920000).

10081244216232 is an abundant number, since it is smaller than the sum of its proper divisors (22286623623768).

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

10081244216232 is a wasteful number, since it uses less digits than its factorization.

10081244216232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133281 (or 133271 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 10081244216232 in words is "ten trillion, eighty-one billion, two hundred forty-four million, two hundred sixteen thousand, two hundred thirty-two".