465966669564 has 288 divisors, whose sum is σ = 1470850617600. Its totient is φ = 122497505280.

The previous prime is 465966669563. The next prime is 465966669577.

465966669564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 465966669492 and 465966669501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465966669563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4683367 + ... + 4781825.

It is an arithmetic number, because the mean of its divisors is an integer number (5107120200).

Almost surely, 2^465966669564 is an apocalyptic number.

465966669564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465966669564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735425308800).

465966669564 is an abundant number, since it is smaller than the sum of its proper divisors (1004883948036).

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

465966669564 is a wasteful number, since it uses less digits than its factorization.

465966669564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98553 (or 98548 counting only the distinct ones).

The product of its digits is 1511654400, while the sum is 72.

The spelling of 465966669564 in words is "four hundred sixty-five billion, nine hundred sixty-six million, six hundred sixty-nine thousand, five hundred sixty-four".