83124211068648 has 40 divisors (see below), whose sum is σ = 232824757856130. Its totient is φ = 27708070356000.

The previous prime is 83124211068631. The next prime is 83124211068677. The reversal of 83124211068648 is 84686011242138.

83124211068648 is a `hidden beast` number, since 8 + 31 + 2 + 421 + 106 + 86 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53599354460964 + 29524856607684 = 7321158^2 + 5433678^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 83124211068594 and 83124211068603.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 64139051103 + ... + 64139052398.

Almost surely, 2^{83124211068648} is an apocalyptic number.

It is an amenable number.

83124211068648 is an abundant number, since it is smaller than the sum of its proper divisors (149700546787482).

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

83124211068648 is a wasteful number, since it uses less digits than its factorization.

83124211068648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128278103519 (or 128278103506 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 83124211068648 in words is "eighty-three trillion, one hundred twenty-four billion, two hundred eleven million, sixty-eight thousand, six hundred forty-eight".