83741989567104 has 256 divisors, whose sum is σ = 269662103424000. Its totient is φ = 25372758297600.

The previous prime is 83741989567079. The next prime is 83741989567133. The reversal of 83741989567104 is 40176598914738.

83741989567104 is a `hidden beast` number, since 8 + 3 + 7 + 41 + 9 + 8 + 9 + 567 + 10 + 4 = 666.

83741989567104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 273980637 + ... + 274286115.

It is an arithmetic number, because the mean of its divisors is an integer number (1053367591500).

Almost surely, 2^{83741989567104} 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 83741989567104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134831051712000).

83741989567104 is an abundant number, since it is smaller than the sum of its proper divisors (185920113856896).

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

83741989567104 is a wasteful number, since it uses less digits than its factorization.

83741989567104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312724 (or 312706 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 83741989567104 in words is "eighty-three trillion, seven hundred forty-one billion, nine hundred eighty-nine million, five hundred sixty-seven thousand, one hundred four".