189651456 has 200 divisors, whose sum is σ = 601585380. Its totient is φ = 59277312.

The previous prime is 189651391. The next prime is 189651479. The reversal of 189651456 is 654156981.

189651456 is a `hidden beast` number, since 1 + 89 + 6 + 514 + 56 = 666.

189651456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 187142400 + 2509056 = 13680^2 + 1584^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 704890 + ... + 705158.

Almost surely, 2^189651456 is an apocalyptic number.

189651456 is a gapful number since it is divisible by the number (16) 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 189651456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300792690).

189651456 is an abundant number, since it is smaller than the sum of its proper divisors (411933924).

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

189651456 is an equidigital number, since it uses as much as digits as its factorization.

189651456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 291 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 189651456 is about 13771.3999288380. The cubic root of 189651456 is about 574.5379587569.

The spelling of 189651456 in words is "one hundred eighty-nine million, six hundred fifty-one thousand, four hundred fifty-six".