83336142400 has 189 divisors, whose sum is σ = 238769605137. Its totient is φ = 28544678400.

The previous prime is 83336142347. The next prime is 83336142403. The reversal of 83336142400 is 424163338.

The square root of 83336142400 is 288680.

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., 30001011264 + 53335131136 = 173208^2 + 230944^2 .

It is a super-2 number, since 2×83336142400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83336142403) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 80829885 + ... + 80830915.

Almost surely, 2^83336142400 is an apocalyptic number.

83336142400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

83336142400 is the 288680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83336142400

83336142400 is an abundant number, since it is smaller than the sum of its proper divisors (155433462737).

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

83336142400 is an equidigital number, since it uses as much as digits as its factorization.

83336142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 83336142400 in words is "eighty-three billion, three hundred thirty-six million, one hundred forty-two thousand, four hundred".