646563210345 has 48 divisors (see below), whose sum is σ = 1215018277200. Its totient is φ = 316171703808.

The previous prime is 646563210329. The next prime is 646563210383. The reversal of 646563210345 is 543012365646.

646563210345 is a `hidden beast` number, since 6 + 4 + 6 + 5 + 632 + 1 + 0 + 3 + 4 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 169108467984 + 477454742361 = 411228^2 + 690981^2 .

It is not a de Polignac number, because 646563210345 - 2⁴ = 646563210329 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 646563210345.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3621682 + ... + 3796011.

It is an arithmetic number, because the mean of its divisors is an integer number (25312880775).

Almost surely, 2^646563210345 is an apocalyptic number.

646563210345 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

646563210345 is a deficient number, since it is larger than the sum of its proper divisors (568455066855).

646563210345 is a wasteful number, since it uses less digits than its factorization.

646563210345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7417866 (or 7417863 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 646563210345 in words is "six hundred forty-six billion, five hundred sixty-three million, two hundred ten thousand, three hundred forty-five".