189142125279744 has 960 divisors, whose sum is σ = 634684017623040. Its totient is φ = 49612607815680.

The previous prime is 189142125279743. The next prime is 189142125279769. The reversal of 189142125279744 is 447972521241981.

It is not an unprimeable number, because it can be changed into a prime (189142125279743) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207620334649 + ... + 207620335559.

It is an arithmetic number, because the mean of its divisors is an integer number (661129185024).

Almost surely, 2^{189142125279744} is an apocalyptic number.

189142125279744 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 189142125279744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317342008811520).

189142125279744 is an abundant number, since it is smaller than the sum of its proper divisors (445541892343296).

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

189142125279744 is a wasteful number, since it uses less digits than its factorization.

189142125279744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1858 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 66.

The spelling of 189142125279744 in words is "one hundred eighty-nine trillion, one hundred forty-two billion, one hundred twenty-five million, two hundred seventy-nine thousand, seven hundred forty-four".