83768246547156 has 144 divisors (see below), whose sum is σ = 222654201719040. Its totient is φ = 26516252770560.

The previous prime is 83768246547079. The next prime is 83768246547203. The reversal of 83768246547156 is 65174564286738.

83768246547156 is a `hidden beast` number, since 8 + 3 + 7 + 6 + 8 + 2 + 465 + 4 + 7 + 156 = 666.

It is a super-2 number, since 2×83768246547156² (a number of 29 digits) contains 22 as substring.

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, 1351789285 + ... + 1351851251.

It is an arithmetic number, because the mean of its divisors is an integer number (1546209734160).

Almost surely, 2^{83768246547156} 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 83768246547156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111327100859520).

83768246547156 is an abundant number, since it is smaller than the sum of its proper divisors (138885955171884).

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

83768246547156 is a wasteful number, since it uses less digits than its factorization.

83768246547156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83294 (or 83289 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 72.

The spelling of 83768246547156 in words is "eighty-three trillion, seven hundred sixty-eight billion, two hundred forty-six million, five hundred forty-seven thousand, one hundred fifty-six".