189390250224 has 320 divisors, whose sum is σ = 635753594880. Its totient is φ = 52855545600.

The previous prime is 189390250193. The next prime is 189390250229. The reversal of 189390250224 is 422052093981.

189390250224 is a `hidden beast` number, since 1 + 8 + 9 + 390 + 250 + 2 + 2 + 4 = 666.

189390250224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 189390250224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189390250229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97072449 + ... + 97074399.

It is an arithmetic number, because the mean of its divisors is an integer number (1986729984).

Almost surely, 2^189390250224 is an apocalyptic number.

189390250224 is a gapful number since it is divisible by the number (14) 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 189390250224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317876797440).

189390250224 is an abundant number, since it is smaller than the sum of its proper divisors (446363344656).

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

189390250224 is a wasteful number, since it uses less digits than its factorization.

189390250224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705 (or 2693 counting only the distinct ones).

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

The spelling of 189390250224 in words is "one hundred eighty-nine billion, three hundred ninety million, two hundred fifty thousand, two hundred twenty-four".