188849664 has 160 divisors (see below), whose sum is σ = 589248000. Its totient is φ = 59553792.

The previous prime is 188849657. The next prime is 188849701. The reversal of 188849664 is 466948881.

188849664 is a `hidden beast` number, since 18 + 88 + 496 + 64 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 a self number, because there is not a number n which added to its sum of digits gives 188849664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262297 + ... + 263015.

It is an arithmetic number, because the mean of its divisors is an integer number (3682800).

Almost surely, 2^188849664 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 188849664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294624000).

188849664 is an abundant number, since it is smaller than the sum of its proper divisors (400398336).

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

188849664 is an equidigital number, since it uses as much as digits as its factorization.

188849664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 743 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 188849664 is about 13742.2583296924. The cubic root of 188849664 is about 573.7271544579.

The spelling of 188849664 in words is "one hundred eighty-eight million, eight hundred forty-nine thousand, six hundred sixty-four".