10144168192 has 108 divisors (see below), whose sum is σ = 22208763136. Its totient is φ = 4618690560.

The previous prime is 10144168183. The next prime is 10144168207. The reversal of 10144168192 is 29186144101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2291293 + ... + 2295715.

Almost surely, 2^10144168192 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 10144168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11104381568).

10144168192 is an abundant number, since it is smaller than the sum of its proper divisors (12064594944).

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

10144168192 is an equidigital number, since it uses as much as digits as its factorization.

10144168192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 10144168192 in words is "ten billion, one hundred forty-four million, one hundred sixty-eight thousand, one hundred ninety-two".