83768246547104 has 192 divisors, whose sum is σ = 189610800728832. Its totient is φ = 35685915033600.

The previous prime is 83768246547079. The next prime is 83768246547203. The reversal of 83768246547104 is 40174564286738.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36853604912 + ... + 36853607184.

It is an arithmetic number, because the mean of its divisors is an integer number (987556253796).

Almost surely, 2^{83768246547104} 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 83768246547104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94805400364416).

83768246547104 is an abundant number, since it is smaller than the sum of its proper divisors (105842554181728).

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

83768246547104 is a wasteful number, since it uses less digits than its factorization.

83768246547104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 65.

The spelling of 83768246547104 in words is "eighty-three trillion, seven hundred sixty-eight billion, two hundred forty-six million, five hundred forty-seven thousand, one hundred four".