649134382434944 has 320 divisors, whose sum is σ = 1639270308345600. Its totient is φ = 255056368250880.

The previous prime is 649134382434859. The next prime is 649134382434947. The reversal of 649134382434944 is 449434283431946.

It is a super-2 number, since 2×649134382434944² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (649134382434947) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179223164 + ... + 182809220.

It is an arithmetic number, because the mean of its divisors is an integer number (5122719713580).

Almost surely, 2^{649134382434944} is an apocalyptic number.

649134382434944 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 649134382434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819635154172800).

649134382434944 is an abundant number, since it is smaller than the sum of its proper divisors (990135925910656).

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

649134382434944 is an equidigital number, since it uses as much as digits as its factorization.

649134382434944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586149 (or 3586116 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 68.

The spelling of 649134382434944 in words is "six hundred forty-nine trillion, one hundred thirty-four billion, three hundred eighty-two million, four hundred thirty-four thousand, nine hundred forty-four".