83668242112 has 448 divisors, whose sum is σ = 220228485120. Its totient is φ = 30656102400.

The previous prime is 83668242067. The next prime is 83668242121. The reversal of 83668242112 is 21124286638.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×83668242112² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658804993 + ... + 658805119.

It is an arithmetic number, because the mean of its divisors is an integer number (491581440).

Almost surely, 2^83668242112 is an apocalyptic number.

83668242112 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83668242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110114242560).

83668242112 is an abundant number, since it is smaller than the sum of its proper divisors (136560243008).

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

83668242112 is a wasteful number, since it uses less digits than its factorization.

83668242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 310 counting only the distinct ones).

The product of its digits is 221184, while the sum is 43.

The spelling of 83668242112 in words is "eighty-three billion, six hundred sixty-eight million, two hundred forty-two thousand, one hundred twelve".