83731123961856 has 1024 divisors, whose sum is σ = 290632646707200. Its totient is φ = 23623194378240.

The previous prime is 83731123961851. The next prime is 83731123961861. The reversal of 83731123961856 is 65816932113738.

83731123961856 is a `hidden beast` number, since 8 + 3 + 7 + 3 + 1 + 1 + 2 + 3 + 9 + 618 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (83731123961851) and next prime (83731123961861).

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×83731123961856² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 83731123961793 and 83731123961802.

It is not an unprimeable number, because it can be changed into a prime (83731123961851) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 41636559891 + ... + 41636561901.

It is an arithmetic number, because the mean of its divisors is an integer number (283820944050).

Almost surely, 2^{83731123961856} 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 83731123961856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145316323353600).

83731123961856 is an abundant number, since it is smaller than the sum of its proper divisors (206901522745344).

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

83731123961856 is an frugal number, since it uses more digits than its factorization.

83731123961856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2106 counting only the distinct ones).

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

The spelling of 83731123961856 in words is "eighty-three trillion, seven hundred thirty-one billion, one hundred twenty-three million, nine hundred sixty-one thousand, eight hundred fifty-six".