83683408400 has 30 divisors (see below), whose sum is σ = 201049389642. Its totient is φ = 33473363200.

The previous prime is 83683408387. The next prime is 83683408427. The reversal of 83683408400 is 480438638.

It can be written as a sum of positive squares in 3 ways, for example, as 29931768064 + 53751640336 = 173008^2 + 231844^2 .

It is a super-4 number, since 4×83683408400⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104603861 + ... + 104604660.

Almost surely, 2^83683408400 is an apocalyptic number.

83683408400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83683408400 is an abundant number, since it is smaller than the sum of its proper divisors (117365981242).

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

83683408400 is a wasteful number, since it uses less digits than its factorization.

83683408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209208539 (or 209208528 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 83683408400 in words is "eighty-three billion, six hundred eighty-three million, four hundred eight thousand, four hundred".