83444073984 has 240 divisors, whose sum is σ = 244677129840. Its totient is φ = 27373731840.

The previous prime is 83444073971. The next prime is 83444074019. The reversal of 83444073984 is 48937044438.

It is a self number, because there is not a number n which added to its sum of digits gives 83444073984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82699272 + ... + 82700280.

It is an arithmetic number, because the mean of its divisors is an integer number (1019488041).

Almost surely, 2^83444073984 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 83444073984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122338564920).

83444073984 is an abundant number, since it is smaller than the sum of its proper divisors (161233055856).

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

83444073984 is a wasteful number, since it uses less digits than its factorization.

83444073984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 83444073984 in words is "eighty-three billion, four hundred forty-four million, seventy-three thousand, nine hundred eighty-four".