4646050506464 has 96 divisors (see below), whose sum is σ = 9270609449472. Its totient is φ = 2291788800000.

The previous prime is 4646050506329. The next prime is 4646050506469.

4646050506464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4646050506464² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4646050506469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1906461854 + ... + 1906464290.

It is an arithmetic number, because the mean of its divisors is an integer number (96568848432).

Almost surely, 2^{4646050506464} is an apocalyptic number.

It is an amenable number.

4646050506464 is a deficient number, since it is larger than the sum of its proper divisors (4624558943008).

4646050506464 is a wasteful number, since it uses less digits than its factorization.

4646050506464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 50.

The spelling of 4646050506464 in words is "four trillion, six hundred forty-six billion, fifty million, five hundred six thousand, four hundred sixty-four".