465669909966564 has 144 divisors (see below), whose sum is σ = 1250388132804720. Its totient is φ = 145619440312320.

The previous prime is 465669909966553. The next prime is 465669909966619.

It is a happy number.

465669909966564 is a `hidden beast` number, since 465 + 6 + 6 + 9 + 9 + 0 + 9 + 96 + 6 + 56 + 4 = 666.

465669909966564 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 90511439062500 + 375158470904064 = 9513750^2 + 19369008^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6480111994 + ... + 6480183854.

It is an arithmetic number, because the mean of its divisors is an integer number (8683250922255).

Almost surely, 2^{465669909966564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465669909966564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625194066402360).

465669909966564 is an abundant number, since it is smaller than the sum of its proper divisors (784718222838156).

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

465669909966564 is a wasteful number, since it uses less digits than its factorization.

465669909966564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106030 (or 106025 counting only the distinct ones).

The product of its (nonzero) digits is 122444006400, while the sum is 90.

The spelling of 465669909966564 in words is "four hundred sixty-five trillion, six hundred sixty-nine billion, nine hundred nine million, nine hundred sixty-six thousand, five hundred sixty-four".