465849948564 has 144 divisors (see below), whose sum is σ = 1581066614400. Its totient is φ = 111692286720.

The previous prime is 465849948527. The next prime is 465849948611.

465849948564 is a `hidden beast` number, since 4 + 6 + 5 + 84 + 9 + 9 + 485 + 64 = 666.

465849948564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465849948492 and 465849948501.

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 47 ways as a sum of consecutive naturals, for example, 6427639 + ... + 6499710.

Almost surely, 2^465849948564 is an apocalyptic number.

465849948564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

465849948564 is an abundant number, since it is smaller than the sum of its proper divisors (1115216665836).

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

465849948564 is a wasteful number, since it uses less digits than its factorization.

465849948564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12927390 (or 12927385 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 72.

The spelling of 465849948564 in words is "four hundred sixty-five billion, eight hundred forty-nine million, nine hundred forty-eight thousand, five hundred sixty-four".