83486618460 has 384 divisors, whose sum is σ = 303803136000. Its totient is φ = 19025798400.

The previous prime is 83486618443. The next prime is 83486618473. The reversal of 83486618460 is 6481668438.

83486618460 is a `hidden beast` number, since 8 + 348 + 66 + 184 + 60 = 666.

It is a super-2 number, since 2×83486618460² (a number of 23 digits) contains 22 as substring.

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 = 83486618397 and 83486618406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119096110 + ... + 119096810.

It is an arithmetic number, because the mean of its divisors is an integer number (791154000).

Almost surely, 2^83486618460 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 83486618460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151901568000).

83486618460 is an abundant number, since it is smaller than the sum of its proper divisors (220316517540).

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

83486618460 is a wasteful number, since it uses less digits than its factorization.

83486618460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 83486618460 in words is "eighty-three billion, four hundred eighty-six million, six hundred eighteen thousand, four hundred sixty".