83718927618912 has 576 divisors, whose sum is σ = 251790831452160. Its totient is φ = 26349109862400.

The previous prime is 83718927618901. The next prime is 83718927618917. The reversal of 83718927618912 is 21981672981738.

83718927618912 is a `hidden beast` number, since 8 + 371 + 8 + 9 + 2 + 76 + 189 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83718927618917) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97688363188 + ... + 97688364044.

It is an arithmetic number, because the mean of its divisors is an integer number (437136860160).

Almost surely, 2^{83718927618912} 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 83718927618912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125895415726080).

83718927618912 is an abundant number, since it is smaller than the sum of its proper divisors (168071903833248).

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

83718927618912 is a wasteful number, since it uses less digits than its factorization.

83718927618912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1856 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 72.

The spelling of 83718927618912 in words is "eighty-three trillion, seven hundred eighteen billion, nine hundred twenty-seven million, six hundred eighteen thousand, nine hundred twelve".