189023466240 has 1080 divisors, whose sum is σ = 814551701040. Its totient is φ = 41683009536.

The previous prime is 189023466193. The next prime is 189023466241. The reversal of 189023466240 is 42664320981.

189023466240 is a `hidden beast` number, since 18 + 9 + 0 + 2 + 3 + 4 + 6 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189023466241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 147328639 + ... + 147329921.

It is an arithmetic number, because the mean of its divisors is an integer number (754214538).

Almost surely, 2^189023466240 is an apocalyptic number.

189023466240 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 189023466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407275850520).

189023466240 is an abundant number, since it is smaller than the sum of its proper divisors (625528234800).

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

189023466240 is a wasteful number, since it uses less digits than its factorization.

189023466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1329 counting only the distinct ones).

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

The spelling of 189023466240 in words is "one hundred eighty-nine billion, twenty-three million, four hundred sixty-six thousand, two hundred forty".