194440512 has 112 divisors (see below), whose sum is σ = 591718400. Its totient is φ = 55199232.

The previous prime is 194440501. The next prime is 194440523. The reversal of 194440512 is 215044491.

194440512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (194440501) and next prime (194440523).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×194440512² = 75614225413644288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 194440512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267093 + ... + 267819.

It is an arithmetic number, because the mean of its divisors is an integer number (5283200).

Almost surely, 2^194440512 is an apocalyptic number.

194440512 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 194440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295859200).

194440512 is an abundant number, since it is smaller than the sum of its proper divisors (397277888).

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

194440512 is a wasteful number, since it uses less digits than its factorization.

194440512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 194440512 is about 13944.1927697519. The cubic root of 194440512 is about 579.3338686124. Note that the first 3 decimals are identical.

The spelling of 194440512 in words is "one hundred ninety-four million, four hundred forty thousand, five hundred twelve".