83603249775216 has 120 divisors (see below), whose sum is σ = 242154305574480. Its totient is φ = 26894199241728.

The previous prime is 83603249775167. The next prime is 83603249775247. The reversal of 83603249775216 is 61257794230638.

It is a happy number.

83603249775216 is a `hidden beast` number, since 8 + 3 + 6 + 0 + 32 + 4 + 9 + 77 + 521 + 6 = 666.

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, 4239991 + ... + 13608233.

It is an arithmetic number, because the mean of its divisors is an integer number (2017952546454).

It is a 1-persistent number, because it is pandigital, but 2⋅83603249775216 = 167206499550432 is not.

Almost surely, 2^{83603249775216} 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 83603249775216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121077152787240).

83603249775216 is an abundant number, since it is smaller than the sum of its proper divisors (158551055799264).

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

83603249775216 is a wasteful number, since it uses less digits than its factorization.

83603249775216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9370423 (or 9370414 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 83603249775216 in words is "eighty-three trillion, six hundred three billion, two hundred forty-nine million, seven hundred seventy-five thousand, two hundred sixteen".