189612226434624 has 336 divisors, whose sum is σ = 584275662129600. Its totient is φ = 54111287623680.

The previous prime is 189612226434623. The next prime is 189612226434629. The reversal of 189612226434624 is 426434622216981.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (189612226434623) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46258164927 + ... + 46258169025.

It is an arithmetic number, because the mean of its divisors is an integer number (1738915661100).

Almost surely, 2^{189612226434624} is an apocalyptic number.

189612226434624 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 189612226434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292137831064800).

189612226434624 is an abundant number, since it is smaller than the sum of its proper divisors (394663435694976).

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

189612226434624 is a wasteful number, since it uses less digits than its factorization.

189612226434624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8706 (or 8689 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 60.

The spelling of 189612226434624 in words is "one hundred eighty-nine trillion, six hundred twelve billion, two hundred twenty-six million, four hundred thirty-four thousand, six hundred twenty-four".