10084168224 has 360 divisors, whose sum is σ = 33748698060. Its totient is φ = 2935968768.

The previous prime is 10084168207. The next prime is 10084168261. The reversal of 10084168224 is 42286148001.

10084168224 is a `hidden beast` number, since 10 + 0 + 8 + 416 + 8 + 224 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9836672400 + 247495824 = 99180^2 + 15732^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12163842 + ... + 12164670.

Almost surely, 2^10084168224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10084168224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16874349030).

10084168224 is an abundant number, since it is smaller than the sum of its proper divisors (23664529836).

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

10084168224 is a wasteful number, since it uses less digits than its factorization.

10084168224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 10084168224 in words is "ten billion, eighty-four million, one hundred sixty-eight thousand, two hundred twenty-four".