189903450240 has 448 divisors, whose sum is σ = 777922551360. Its totient is φ = 43405756416.

The previous prime is 189903450239. The next prime is 189903450241. The reversal of 189903450240 is 42054309981.

189903450240 is a `hidden beast` number, since 18 + 9 + 90 + 3 + 4 + 502 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (189903450239) and next prime (189903450241).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189903450241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3236847 + ... + 3294993.

Almost surely, 2^189903450240 is an apocalyptic number.

189903450240 is a gapful number since it is divisible by the number (10) 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 189903450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388961275680).

189903450240 is an abundant number, since it is smaller than the sum of its proper divisors (588019101120).

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

189903450240 is an frugal number, since it uses more digits than its factorization.

189903450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58191 (or 58164 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 189903450240 in words is "one hundred eighty-nine billion, nine hundred three million, four hundred fifty thousand, two hundred forty".