109038204242496 has 189 divisors, whose sum is σ = 313770784805283. Its totient is φ = 36203303197440.

The previous prime is 109038204242459. The next prime is 109038204242581. The reversal of 109038204242496 is 694242402830901.

The square root of 109038204242496 is 10442136.

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

109038204242496 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 3 + 8 + 204 + 2 + 424 + 9 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77940102405 + ... + 77940103803.

Almost surely, 2^{109038204242496} is an apocalyptic number.

109038204242496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

109038204242496 is the 10442136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109038204242496

109038204242496 is an abundant number, since it is smaller than the sum of its proper divisors (204732580562787).

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

109038204242496 is an frugal number, since it uses more digits than its factorization.

109038204242496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 109038204242496 in words is "one hundred nine trillion, thirty-eight billion, two hundred four million, two hundred forty-two thousand, four hundred ninety-six".