188668245750336 has 1701 divisors, whose sum is σ = 646415006860441. Its totient is φ = 54590991206400.

The previous prime is 188668245750317. The next prime is 188668245750379. The reversal of 188668245750336 is 633057542866881.

The square root of 188668245750336 is 13735656.

It is a perfect power (a square), and thus also a powerful number.

188668245750336 is a `hidden beast` number, since 1 + 8 + 8 + 6 + 6 + 82 + 4 + 5 + 7 + 503 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9091093340736 + 179577152409600 = 3015144^2 + 13400640^2 .

It is a super-2 number, since 2×188668245750336² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) 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 (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 4014217994665 + ... + 4014217994711.

Almost surely, 2^{188668245750336} is an apocalyptic number.

188668245750336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

188668245750336 is the 13735656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188668245750336

188668245750336 is an abundant number, since it is smaller than the sum of its proper divisors (457746761110105).

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

188668245750336 is an frugal number, since it uses more digits than its factorization.

188668245750336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 188668245750336 in words is "one hundred eighty-eight trillion, six hundred sixty-eight billion, two hundred forty-five million, seven hundred fifty thousand, three hundred thirty-six".