189364348800 has 384 divisors, whose sum is σ = 756026611200. Its totient is φ = 45906278400.

The previous prime is 189364348751. The next prime is 189364348871. The reversal of 189364348800 is 8843463981.

189364348800 is a `hidden beast` number, since 18 + 93 + 64 + 3 + 488 + 0 + 0 = 666.

189364348800 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 (384).

It is a super-2 number, since 2×189364348800² (a number of 23 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 850777 + ... + 1050023.

It is an arithmetic number, because the mean of its divisors is an integer number (1968819300).

Almost surely, 2^189364348800 is an apocalyptic number.

189364348800 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 189364348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378013305600).

189364348800 is an abundant number, since it is smaller than the sum of its proper divisors (566662262400).

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

189364348800 is a wasteful number, since it uses less digits than its factorization.

189364348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199291 (or 199268 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 189364348800 in words is "one hundred eighty-nine billion, three hundred sixty-four million, three hundred forty-eight thousand, eight hundred".