649113439613184 has 4608 divisors, whose sum is σ = 2565454710067200. Its totient is φ = 159375295512576.

The previous prime is 649113439613161. The next prime is 649113439613311. The reversal of 649113439613184 is 481316934311946.

649113439613184 is a `hidden beast` number, since 6 + 4 + 9 + 1 + 1 + 3 + 4 + 3 + 9 + 613 + 1 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 7293409433812 + ... + 7293409433900.

It is an arithmetic number, because the mean of its divisors is an integer number (556739303400).

Almost surely, 2^{649113439613184} is an apocalyptic number.

649113439613184 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649113439613184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282727355033600).

649113439613184 is an abundant number, since it is smaller than the sum of its proper divisors (1916341270454016).

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

649113439613184 is an equidigital number, since it uses as much as digits as its factorization.

649113439613184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 277 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 649113439613184 in words is "six hundred forty-nine trillion, one hundred thirteen billion, four hundred thirty-nine million, six hundred thirteen thousand, one hundred eighty-four".