83744278416100 has 81 divisors (see below), whose sum is σ = 184334943527931. Its totient is φ = 33023350281600.

The previous prime is 83744278416077. The next prime is 83744278416101. The reversal of 83744278416100 is 161487244738.

The square root of 83744278416100 is 9151190.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23388808356 + 83720889607744 = 152934^2 + 9149912^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83744278416101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6497338456 + ... + 6497351344.

Almost surely, 2^{83744278416100} is an apocalyptic number.

83744278416100 is the 9151190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83744278416100

83744278416100 is an abundant number, since it is smaller than the sum of its proper divisors (100590665111831).

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

83744278416100 is an frugal number, since it uses more digits than its factorization.

83744278416100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25934 (or 12967 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 55.

The spelling of 83744278416100 in words is "eighty-three trillion, seven hundred forty-four billion, two hundred seventy-eight million, four hundred sixteen thousand, one hundred".