192414144 has 112 divisors (see below), whose sum is σ = 553484288. Its totient is φ = 58641408.

The previous prime is 192414137. The next prime is 192414149. The reversal of 192414144 is 441414291.

It is a super-2 number, since 2×192414144² = 74046405622505472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192414149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316689 + ... + 317295.

It is an arithmetic number, because the mean of its divisors is an integer number (4941824).

Almost surely, 2^192414144 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 192414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276742144).

192414144 is an abundant number, since it is smaller than the sum of its proper divisors (361070144).

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

192414144 is a wasteful number, since it uses less digits than its factorization.

192414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 752 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 192414144 is about 13871.3425449738. The cubic root of 192414144 is about 577.3143212215.

The spelling of 192414144 in words is "one hundred ninety-two million, four hundred fourteen thousand, one hundred forty-four".