83546944320 has 1344 divisors, whose sum is σ = 345848610816. Its totient is φ = 16974397440.

The previous prime is 83546944319. The next prime is 83546944339. The reversal of 83546944320 is 2344964538.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 83546944320.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1576357414 + ... + 1576357466.

Almost surely, 2^83546944320 is an apocalyptic number.

83546944320 is a gapful number since it is divisible by the number (80) 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 83546944320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172924305408).

83546944320 is an abundant number, since it is smaller than the sum of its proper divisors (262301666496).

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

83546944320 is a wasteful number, since it uses less digits than its factorization.

83546944320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 83546944320 in words is "eighty-three billion, five hundred forty-six million, nine hundred forty-four thousand, three hundred twenty".