646434434646 has 512 divisors, whose sum is σ = 2009213337600. Its totient is φ = 148599360000.

The previous prime is 646434434621. The next prime is 646434434671.

646434434646 is a `hidden beast` number, since 64 + 64 + 3 + 443 + 46 + 46 = 666.

646434434646 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (646434434621) and next prime (646434434671).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 646434434592 and 646434434601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 236701101 + ... + 236703831.

It is an arithmetic number, because the mean of its divisors is an integer number (3924244800).

Almost surely, 2^646434434646 is an apocalyptic number.

646434434646 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 646434434646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004606668800).

646434434646 is an abundant number, since it is smaller than the sum of its proper divisors (1362778902954).

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

646434434646 is a wasteful number, since it uses less digits than its factorization.

646434434646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2947 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 54.

The spelling of 646434434646 in words is "six hundred forty-six billion, four hundred thirty-four million, four hundred thirty-four thousand, six hundred forty-six".