189304348147200 has 960 divisors, whose sum is σ = 816314540025600. Its totient is φ = 42361801113600.

The previous prime is 189304348147177. The next prime is 189304348147219. The reversal of 189304348147200 is 2741843403981.

189304348147200 is a `hidden beast` number, since 1 + 8 + 93 + 0 + 4 + 3 + 4 + 81 + 472 + 0 + 0 = 666.

189304348147200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×189304348147200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47505571 + ... + 51336029.

It is an arithmetic number, because the mean of its divisors is an integer number (850327645860).

Almost surely, 2^{189304348147200} is an apocalyptic number.

189304348147200 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 189304348147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408157270012800).

189304348147200 is an abundant number, since it is smaller than the sum of its proper divisors (627010191878400).

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

189304348147200 is a wasteful number, since it uses less digits than its factorization.

189304348147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830520 (or 3830493 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 189304348147200 in words is "one hundred eighty-nine trillion, three hundred four billion, three hundred forty-eight million, one hundred forty-seven thousand, two hundred".