189504120672 has 192 divisors, whose sum is σ = 616035974400. Its totient is φ = 56323123200.

The previous prime is 189504120607. The next prime is 189504120697. The reversal of 189504120672 is 276021405981.

189504120672 is a `hidden beast` number, since 1 + 89 + 504 + 1 + 2 + 0 + 67 + 2 = 666.

189504120672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 60454 + ... + 618597.

It is an arithmetic number, because the mean of its divisors is an integer number (3208520700).

Almost surely, 2^189504120672 is an apocalyptic number.

189504120672 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 189504120672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308017987200).

189504120672 is an abundant number, since it is smaller than the sum of its proper divisors (426531853728).

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

189504120672 is a wasteful number, since it uses less digits than its factorization.

189504120672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679106 (or 679092 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 189504120672 in words is "one hundred eighty-nine billion, five hundred four million, one hundred twenty thousand, six hundred seventy-two".