189813195306 has 288 divisors, whose sum is σ = 524730286080. Its totient is φ = 48429057600.

The previous prime is 189813195301. The next prime is 189813195323. The reversal of 189813195306 is 603591318981.

189813195306 is a `hidden beast` number, since 1 + 8 + 98 + 1 + 3 + 19 + 530 + 6 = 666.

It is a super-2 number, since 2×189813195306² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (189813195301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89915191 + ... + 89917301.

It is an arithmetic number, because the mean of its divisors is an integer number (1821980160).

Almost surely, 2^189813195306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189813195306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262365143040).

189813195306 is an abundant number, since it is smaller than the sum of its proper divisors (334917090774).

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

189813195306 is a wasteful number, since it uses less digits than its factorization.

189813195306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2262 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 189813195306 in words is "one hundred eighty-nine billion, eight hundred thirteen million, one hundred ninety-five thousand, three hundred six".