10006812144 has 240 divisors, whose sum is σ = 33727082400. Its totient is φ = 2832205824.

The previous prime is 10006812143. The next prime is 10006812157. The reversal of 10006812144 is 44121860001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006812143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2305144 + ... + 2309480.

It is an arithmetic number, because the mean of its divisors is an integer number (140529510).

Almost surely, 2^10006812144 is an apocalyptic number.

10006812144 is a gapful number since it is divisible by the number (14) 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 10006812144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16863541200).

10006812144 is an abundant number, since it is smaller than the sum of its proper divisors (23720270256).

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

10006812144 is a wasteful number, since it uses less digits than its factorization.

10006812144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4477 (or 4458 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10006812144 in words is "ten billion, six million, eight hundred twelve thousand, one hundred forty-four".