189875334480 has 160 divisors (see below), whose sum is σ = 634084416000. Its totient is φ = 46724321280.

The previous prime is 189875334463. The next prime is 189875334487. The reversal of 189875334480 is 84433578981.

189875334480 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 (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189875334487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13318396 + ... + 13332644.

It is an arithmetic number, because the mean of its divisors is an integer number (3963027600).

Almost surely, 2^189875334480 is an apocalyptic number.

189875334480 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 189875334480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317042208000).

189875334480 is an abundant number, since it is smaller than the sum of its proper divisors (444209081520).

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

189875334480 is a wasteful number, since it uses less digits than its factorization.

189875334480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18549 (or 18543 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 189875334480 in words is "one hundred eighty-nine billion, eight hundred seventy-five million, three hundred thirty-four thousand, four hundred eighty".