83244016128 has 480 divisors, whose sum is σ = 280172692800. Its totient is φ = 21768929280.

The previous prime is 83244016103. The next prime is 83244016139. The reversal of 83244016128 is 82161044238.

It is a super-2 number, since 2×83244016128² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145786083 + ... + 145786653.

It is an arithmetic number, because the mean of its divisors is an integer number (583693110).

Almost surely, 2^83244016128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83244016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140086346400).

83244016128 is an abundant number, since it is smaller than the sum of its proper divisors (196928676672).

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

83244016128 is a wasteful number, since it uses less digits than its factorization.

83244016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 83244016128 in words is "eighty-three billion, two hundred forty-four million, sixteen thousand, one hundred twenty-eight".