465146641564 has 24 divisors (see below), whose sum is σ = 888819766128. Its totient is φ = 211236829440.

The previous prime is 465146641549. The next prime is 465146641571.

465146641564 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×465146641564³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4787917 + ... + 4884100.

It is an arithmetic number, because the mean of its divisors is an integer number (37034156922).

Almost surely, 2^465146641564 is an apocalyptic number.

465146641564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465146641564 is a deficient number, since it is larger than the sum of its proper divisors (423673124564).

465146641564 is a wasteful number, since it uses less digits than its factorization.

465146641564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9673125 (or 9673123 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 52.

The spelling of 465146641564 in words is "four hundred sixty-five billion, one hundred forty-six million, six hundred forty-one thousand, five hundred sixty-four".