464005203257646 has 48 divisors (see below), whose sum is σ = 1064484263559600. Its totient is φ = 145570022110464.

The previous prime is 464005203257639. The next prime is 464005203257681. The reversal of 464005203257646 is 646752302500464.

464005203257646 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 0 + 5 + 20 + 3 + 2 + 576 + 46 = 666.

It is a super-2 number, since 2×464005203257646² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 464005203257592 and 464005203257601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338553520 + ... + 339921308.

It is an arithmetic number, because the mean of its divisors is an integer number (22176755490825).

Almost surely, 2^{464005203257646} is an apocalyptic number.

464005203257646 is an abundant number, since it is smaller than the sum of its proper divisors (600479060301954).

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

464005203257646 is a wasteful number, since it uses less digits than its factorization.

464005203257646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2476433 (or 2476430 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 54.

The spelling of 464005203257646 in words is "four hundred sixty-four trillion, five billion, two hundred three million, two hundred fifty-seven thousand, six hundred forty-six".