189134120448 has 1280 divisors, whose sum is σ = 746852198400. Its totient is φ = 45864714240.

The previous prime is 189134120447. The next prime is 189134120459. The reversal of 189134120448 is 844021431981.

189134120448 is a `hidden beast` number, since 1 + 89 + 1 + 3 + 4 + 120 + 448 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189134120447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 979969440 + ... + 979969632.

It is an arithmetic number, because the mean of its divisors is an integer number (583478280).

Almost surely, 2^189134120448 is an apocalyptic number.

189134120448 is a gapful number since it is divisible by the number (18) 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 189134120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373426099200).

189134120448 is an abundant number, since it is smaller than the sum of its proper divisors (557718077952).

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

189134120448 is a wasteful number, since it uses less digits than its factorization.

189134120448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 189134120448 in words is "one hundred eighty-nine billion, one hundred thirty-four million, one hundred twenty thousand, four hundred forty-eight".