83398684114944 has 1377 divisors, whose sum is σ = 282851376464839. Its totient is φ = 23659201167360.

The previous prime is 83398684114931. The next prime is 83398684114979. The reversal of 83398684114944 is 44941148689338.

The square root of 83398684114944 is 9132288.

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

83398684114944 is a `hidden beast` number, since 8 + 3 + 3 + 98 + 6 + 8 + 41 + 1 + 494 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1774440087529 + ... + 1774440087575.

Almost surely, 2^{83398684114944} is an apocalyptic number.

83398684114944 is the 9132288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83398684114944

83398684114944 is an abundant number, since it is smaller than the sum of its proper divisors (199452692349895).

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

83398684114944 is an equidigital number, since it uses as much as digits as its factorization.

83398684114944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 86 counting only the distinct ones).

The product of its digits is 573308928, while the sum is 72.

The spelling of 83398684114944 in words is "eighty-three trillion, three hundred ninety-eight billion, six hundred eighty-four million, one hundred fourteen thousand, nine hundred forty-four".