83364705216 has 168 divisors, whose sum is σ = 270874815120. Its totient is φ = 24300601344.

The previous prime is 83364705191. The next prime is 83364705227. The reversal of 83364705216 is 61250746338.

83364705216 is a `hidden beast` number, since 8 + 3 + 364 + 70 + 5 + 216 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150705 + ... + 435248.

It is an arithmetic number, because the mean of its divisors is an integer number (1612350090).

Almost surely, 2^83364705216 is an apocalyptic number.

It is an amenable number.

83364705216 is an abundant number, since it is smaller than the sum of its proper divisors (187510109904).

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

83364705216 is a wasteful number, since it uses less digits than its factorization.

83364705216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586003 (or 585990 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 83364705216 in words is "eighty-three billion, three hundred sixty-four million, seven hundred five thousand, two hundred sixteen".