83926972216224 has 144 divisors (see below), whose sum is σ = 240171575716800. Its totient is φ = 27799692687360.

The previous prime is 83926972216201. The next prime is 83926972216237. The reversal of 83926972216224 is 42261227962938.

83926972216224 is a `hidden beast` number, since 8 + 392 + 6 + 9 + 7 + 2 + 2 + 16 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 44174184 + ... + 46034904.

It is an arithmetic number, because the mean of its divisors is an integer number (1667858164700).

Almost surely, 2^{83926972216224} 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 83926972216224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120085787858400).

83926972216224 is an abundant number, since it is smaller than the sum of its proper divisors (156244603500576).

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

83926972216224 is a wasteful number, since it uses less digits than its factorization.

83926972216224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1861723 (or 1861712 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 83926972216224 in words is "eighty-three trillion, nine hundred twenty-six billion, nine hundred seventy-two million, two hundred sixteen thousand, two hundred twenty-four".