189314428018320 has 960 divisors, whose sum is σ = 722924913844224. Its totient is φ = 45661637468160.

The previous prime is 189314428018277. The next prime is 189314428018343. The reversal of 189314428018320 is 23810824413981.

189314428018320 is a `hidden beast` number, since 1 + 8 + 9 + 3 + 14 + 428 + 0 + 183 + 20 = 666.

189314428018320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37689511329 + ... + 37689516351.

Almost surely, 2^{189314428018320} is an apocalyptic number.

189314428018320 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 189314428018320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361462456922112).

189314428018320 is an abundant number, since it is smaller than the sum of its proper divisors (533610485825904).

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

189314428018320 is a wasteful number, since it uses less digits than its factorization.

189314428018320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 5904 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 189314428018320 in words is "one hundred eighty-nine trillion, three hundred fourteen billion, four hundred twenty-eight million, eighteen thousand, three hundred twenty".