83041948900 has 27 divisors (see below), whose sum is σ = 180207282619. Its totient is φ = 33215626880.

The previous prime is 83041948879. The next prime is 83041948907. The reversal of 83041948900 is 984914038.

The square root of 83041948900 is 288170.

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 16018952356 + 67022996544 = 126566^2 + 258888^2 .

It is a super-2 number, since 2×83041948900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83041948907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2867292 + ... + 2896108.

Almost surely, 2^83041948900 is an apocalyptic number.

83041948900 is the 288170-th square number.

It is an amenable number.

83041948900 is an abundant number, since it is smaller than the sum of its proper divisors (97165333719).

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

83041948900 is an frugal number, since it uses more digits than its factorization.

83041948900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57648 (or 28824 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 46.

The spelling of 83041948900 in words is "eighty-three billion, forty-one million, nine hundred forty-eight thousand, nine hundred".