465484165696 has 63 divisors (see below), whose sum is σ = 1015432243833. Its totient is φ = 211556421120.

The previous prime is 465484165681. The next prime is 465484165717. The reversal of 465484165696 is 696561484564.

The square root of 465484165696 is 682264.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 463325262400 + 2158903296 = 680680^2 + 46464^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60035356 + ... + 60043108.

Almost surely, 2^465484165696 is an apocalyptic number.

465484165696 is the 682264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465484165696

465484165696 is an abundant number, since it is smaller than the sum of its proper divisors (549948078137).

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

465484165696 is an frugal number, since it uses more digits than its factorization.

465484165696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15540 (or 7766 counting only the distinct ones).

The product of its digits is 149299200, while the sum is 64.

Multiplying 465484165696 by its sum of digits (64), we get a square (29790986604544 = 5458112²).

465484165696 divided by its sum of digits (64) gives a square (7273190089 = 85283²).

The spelling of 465484165696 in words is "four hundred sixty-five billion, four hundred eighty-four million, one hundred sixty-five thousand, six hundred ninety-six".