189113206464 has 1008 divisors, whose sum is σ = 733627265280. Its totient is φ = 47163617280.

The previous prime is 189113206459. The next prime is 189113206507. The reversal of 189113206464 is 464602311981.

189113206464 is a `hidden beast` number, since 189 + 1 + 1 + 3 + 2 + 0 + 6 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 349562034 + ... + 349562574.

Almost surely, 2^189113206464 is an apocalyptic number.

189113206464 is a gapful number since it is divisible by the number (14) 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 189113206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366813632640).

189113206464 is an abundant number, since it is smaller than the sum of its proper divisors (544514058816).

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

189113206464 is a wasteful number, since it uses less digits than its factorization.

189113206464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 189113206464 in words is "one hundred eighty-nine billion, one hundred thirteen million, two hundred six thousand, four hundred sixty-four".