646165352448 has 624 divisors, whose sum is σ = 2339409361536. Its totient is φ = 166943784960.

The previous prime is 646165352429. The next prime is 646165352449. The reversal of 646165352448 is 844253561646.

646165352448 is a `hidden beast` number, since 6 + 4 + 6 + 165 + 35 + 2 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 646165352394 and 646165352403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (646165352449) 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, 661376536 + ... + 661377512.

It is an arithmetic number, because the mean of its divisors is an integer number (3749053464).

Almost surely, 2^646165352448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646165352448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169704680768).

646165352448 is an abundant number, since it is smaller than the sum of its proper divisors (1693244009088).

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

646165352448 is a wasteful number, since it uses less digits than its factorization.

646165352448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1233 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 646165352448 in words is "six hundred forty-six billion, one hundred sixty-five million, three hundred fifty-two thousand, four hundred forty-eight".