189338499072 has 144 divisors (see below), whose sum is σ = 549203775120. Its totient is φ = 62840537088.

The previous prime is 189338499067. The next prime is 189338499113. The reversal of 189338499072 is 270994833981.

189338499072 is a `hidden beast` number, since 18 + 93 + 384 + 9 + 90 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×189338499072² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4272613 + ... + 4316699.

It is an arithmetic number, because the mean of its divisors is an integer number (3813915105).

Almost surely, 2^189338499072 is an apocalyptic number.

189338499072 is a gapful number since it is divisible by the number (12) 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 189338499072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274601887560).

189338499072 is an abundant number, since it is smaller than the sum of its proper divisors (359865276048).

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

189338499072 is a wasteful number, since it uses less digits than its factorization.

189338499072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44348 (or 44325 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 189338499072 in words is "one hundred eighty-nine billion, three hundred thirty-eight million, four hundred ninety-nine thousand, seventy-two".