188349677568 has 608 divisors, whose sum is σ = 634177555200. Its totient is φ = 54811164672.

The previous prime is 188349677567. The next prime is 188349677573. The reversal of 188349677568 is 865776943881.

188349677568 is a `hidden beast` number, since 1 + 8 + 8 + 3 + 496 + 7 + 75 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 188349677496 and 188349677505.

It is not an unprimeable number, because it can be changed into a prime (188349677567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2116288468 + ... + 2116288556.

Almost surely, 2^188349677568 is an apocalyptic number.

188349677568 is a gapful number since it is divisible by the number (18) 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 188349677568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317088777600).

188349677568 is an abundant number, since it is smaller than the sum of its proper divisors (445827877632).

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

188349677568 is an frugal number, since it uses more digits than its factorization.

188349677568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 130 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 188349677568 in words is "one hundred eighty-eight billion, three hundred forty-nine million, six hundred seventy-seven thousand, five hundred sixty-eight".