648534435846 has 96 divisors (see below), whose sum is σ = 1458862078464. Its totient is φ = 191971137600.

The previous prime is 648534435841. The next prime is 648534435851.

648534435846 is nontrivially palindromic in base 10.

648534435846 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (648534435841) and next prime (648534435851).

It is a self number, because there is not a number n which added to its sum of digits gives 648534435846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648534435841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17827636 + ... + 17863976.

It is an arithmetic number, because the mean of its divisors is an integer number (15196479984).

Almost surely, 2^648534435846 is an apocalyptic number.

648534435846 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 648534435846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729431039232).

648534435846 is an abundant number, since it is smaller than the sum of its proper divisors (810327642618).

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

648534435846 is a wasteful number, since it uses less digits than its factorization.

648534435846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36938 (or 36927 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 60.

The spelling of 648534435846 in words is "six hundred forty-eight billion, five hundred thirty-four million, four hundred thirty-five thousand, eight hundred forty-six".