38668498560000 has 495 divisors, whose sum is σ = 139577271290743. Its totient is φ = 10307619840000.

The previous prime is 38668498559941. The next prime is 38668498560089. The reversal of 38668498560000 is 6589486683.

The square root of 38668498560000 is 6218400.

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

38668498560000 is a `hidden beast` number, since 3 + 8 + 6 + 68 + 4 + 9 + 8 + 560 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3031610287104 + 35636888272896 = 1741152^2 + 5969664^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38668498560000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14924158705 + ... + 14924161295.

Almost surely, 2^{38668498560000} is an apocalyptic number.

38668498560000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38668498560000 is the 6218400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38668498560000

38668498560000 is an abundant number, since it is smaller than the sum of its proper divisors (100908772730743).

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

38668498560000 is an frugal number, since it uses more digits than its factorization.

38668498560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5228 (or 2601 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 38668498560000 in words is "thirty-eight trillion, six hundred sixty-eight billion, four hundred ninety-eight million, five hundred sixty thousand".