648537735846 has 256 divisors, whose sum is σ = 1759039027200. Its totient is φ = 153937428480.

The previous prime is 648537735799. The next prime is 648537735869.

648537735846 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 315896556 + ... + 315898608.

It is an arithmetic number, because the mean of its divisors is an integer number (6871246200).

Almost surely, 2^648537735846 is an apocalyptic number.

648537735846 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 648537735846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879519513600).

648537735846 is an abundant number, since it is smaller than the sum of its proper divisors (1110501291354).

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

648537735846 is a wasteful number, since it uses less digits than its factorization.

648537735846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591.

The product of its digits is 406425600, while the sum is 66.

The spelling of 648537735846 in words is "six hundred forty-eight billion, five hundred thirty-seven million, seven hundred thirty-five thousand, eight hundred forty-six".