188744048640 has 1344 divisors, whose sum is σ = 808622939520. Its totient is φ = 42138206208.

The previous prime is 188744048561. The next prime is 188744048641. The reversal of 188744048640 is 46840447881.

188744048640 is a `hidden beast` number, since 1 + 8 + 87 + 4 + 40 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (188744048641) 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 95 ways as a sum of consecutive naturals, for example, 4389396459 + ... + 4389396501.

Almost surely, 2^188744048640 is an apocalyptic number.

188744048640 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 188744048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404311469760).

188744048640 is an abundant number, since it is smaller than the sum of its proper divisors (619878890880).

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

188744048640 is an frugal number, since it uses more digits than its factorization.

188744048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 188744048640 in words is "one hundred eighty-eight billion, seven hundred forty-four million, forty-eight thousand, six hundred forty".