83548606464 has 208 divisors, whose sum is σ = 253291931200. Its totient is φ = 27200323584.

The previous prime is 83548606459. The next prime is 83548606529. The reversal of 83548606464 is 46460684538.

83548606464 is a `hidden beast` number, since 83 + 5 + 48 + 60 + 6 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83548606464.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4746672 + ... + 4764240.

Almost surely, 2^83548606464 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 83548606464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126645965600).

83548606464 is an abundant number, since it is smaller than the sum of its proper divisors (169743324736).

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

83548606464 is a wasteful number, since it uses less digits than its factorization.

83548606464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17645 (or 17617 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 83548606464 in words is "eighty-three billion, five hundred forty-eight million, six hundred six thousand, four hundred sixty-four".