195414449740224 has 1792 divisors, whose sum is σ = 672816898768896. Its totient is φ = 49180052275200.

The previous prime is 195414449740207. The next prime is 195414449740261. The reversal of 195414449740224 is 422047944414591.

195414449740224 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 149972715957 + ... + 149972717259.

It is an arithmetic number, because the mean of its divisors is an integer number (375455858688).

Almost surely, 2^{195414449740224} 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 195414449740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336408449384448).

195414449740224 is an abundant number, since it is smaller than the sum of its proper divisors (477402449028672).

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

195414449740224 is a wasteful number, since it uses less digits than its factorization.

195414449740224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 195414449740224 in words is "one hundred ninety-five trillion, four hundred fourteen billion, four hundred forty-nine million, seven hundred forty thousand, two hundred twenty-four".