83731216859136 has 2520 divisors, whose sum is σ = 333251722298880. Its totient is φ = 20690082201600.

The previous prime is 83731216859117. The next prime is 83731216859137. The reversal of 83731216859136 is 63195861213738.

83731216859136 is a `hidden beast` number, since 8 + 3 + 7 + 3 + 1 + 2 + 1 + 6 + 8 + 591 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83731216859137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1419173167075 + ... + 1419173167133.

It is an arithmetic number, because the mean of its divisors is an integer number (132242746944).

Almost surely, 2^{83731216859136} 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 83731216859136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166625861149440).

83731216859136 is an abundant number, since it is smaller than the sum of its proper divisors (249520505439744).

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

83731216859136 is an frugal number, since it uses more digits than its factorization.

83731216859136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 113 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 83731216859136 in words is "eighty-three trillion, seven hundred thirty-one billion, two hundred sixteen million, eight hundred fifty-nine thousand, one hundred thirty-six".