189912462624 has 144 divisors (see below), whose sum is σ = 560302142400. Its totient is φ = 63277459200.

The previous prime is 189912462613. The next prime is 189912462629. The reversal of 189912462624 is 426264219981.

189912462624 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 1 + 2 + 4 + 6 + 2 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 (189912462629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28775677 + ... + 28782275.

It is an arithmetic number, because the mean of its divisors is an integer number (3890987100).

Almost surely, 2^189912462624 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 189912462624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280151071200).

189912462624 is an abundant number, since it is smaller than the sum of its proper divisors (370389679776).

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

189912462624 is an equidigital number, since it uses as much as digits as its factorization.

189912462624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10325 (or 10305 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 189912462624 in words is "one hundred eighty-nine billion, nine hundred twelve million, four hundred sixty-two thousand, six hundred twenty-four".