189346464 has 96 divisors (see below), whose sum is σ = 567282240. Its totient is φ = 61399296.

The previous prime is 189346463. The next prime is 189346477. The reversal of 189346464 is 464643981.

189346464 is a `hidden beast` number, since 189 + 3 + 4 + 6 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (189346463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29007 + ... + 34929.

It is an arithmetic number, because the mean of its divisors is an integer number (5909190).

Almost surely, 2^189346464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189346464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283641120).

189346464 is an abundant number, since it is smaller than the sum of its proper divisors (377935776).

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

189346464 is a wasteful number, since it uses less digits than its factorization.

189346464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5965 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 189346464 is about 13760.3220892536. The cubic root of 189346464 is about 574.2298083885.

The spelling of 189346464 in words is "one hundred eighty-nine million, three hundred forty-six thousand, four hundred sixty-four".