83816350660224 has 2048 divisors, whose sum is σ = 327607418880000. Its totient is φ = 20931568680960.

The previous prime is 83816350660223. The next prime is 83816350660247. The reversal of 83816350660224 is 42206605361838.

83816350660224 is a `hidden beast` number, since 8 + 3 + 8 + 1 + 6 + 3 + 5 + 0 + 6 + 602 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (83816350660223) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22452811062 + ... + 22452814794.

It is an arithmetic number, because the mean of its divisors is an integer number (159964560000).

Almost surely, 2^{83816350660224} is an apocalyptic number.

83816350660224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83816350660224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163803709440000).

83816350660224 is an abundant number, since it is smaller than the sum of its proper divisors (243791068219776).

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

83816350660224 is a wasteful number, since it uses less digits than its factorization.

83816350660224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 83816350660224 in words is "eighty-three trillion, eight hundred sixteen billion, three hundred fifty million, six hundred sixty thousand, two hundred twenty-four".