648390500352 has 1344 divisors, whose sum is σ = 2442613555200. Its totient is φ = 167692861440.

The previous prime is 648390500309. The next prime is 648390500419. The reversal of 648390500352 is 253005093846.

648390500352 is a `hidden beast` number, since 6 + 4 + 8 + 3 + 90 + 500 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 648390500298 and 648390500307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8207474649 + ... + 8207474727.

It is an arithmetic number, because the mean of its divisors is an integer number (1817420800).

Almost surely, 2^648390500352 is an apocalyptic number.

648390500352 is a gapful number since it is divisible by the number (62) 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 648390500352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221306777600).

648390500352 is an abundant number, since it is smaller than the sum of its proper divisors (1794223054848).

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

648390500352 is an equidigital number, since it uses as much as digits as its factorization.

648390500352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 648390500352 in words is "six hundred forty-eight billion, three hundred ninety million, five hundred thousand, three hundred fifty-two".