83382337600 has 63 divisors (see below), whose sum is σ = 205201089597. Its totient is φ = 33348314880.

The previous prime is 83382337517. The next prime is 83382337631. The reversal of 83382337600 is 673328338.

The square root of 83382337600 is 288760.

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

It can be written as a sum of positive squares in only one way, i.e., 30017641536 + 53364696064 = 173256^2 + 231008^2 .

It is a super-2 number, since 2×83382337600² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11546791 + ... + 11554009.

Almost surely, 2^83382337600 is an apocalyptic number.

83382337600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83382337600 is the 288760-th square number.

It is an amenable number.

83382337600 is an abundant number, since it is smaller than the sum of its proper divisors (121818751997).

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

83382337600 is an frugal number, since it uses more digits than its factorization.

83382337600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14460 (or 7226 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 83382337600 in words is "eighty-three billion, three hundred eighty-two million, three hundred thirty-seven thousand, six hundred".