465784554923688 has 256 divisors, whose sum is σ = 1563525873100800. Its totient is φ = 111672813634560.

The previous prime is 465784554923687. The next prime is 465784554923707. The reversal of 465784554923688 is 886329455487564.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a self number, because there is not a number n which added to its sum of digits gives 465784554923688.

It is not an unprimeable number, because it can be changed into a prime (465784554923687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 739696558 + ... + 740325986.

It is an arithmetic number, because the mean of its divisors is an integer number (6107522941800).

Almost surely, 2^{465784554923688} 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 465784554923688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781762936550400).

465784554923688 is an abundant number, since it is smaller than the sum of its proper divisors (1097741318177112).

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

465784554923688 is a wasteful number, since it uses less digits than its factorization.

465784554923688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660272 (or 660268 counting only the distinct ones).

The product of its digits is 55738368000, while the sum is 84.

The spelling of 465784554923688 in words is "four hundred sixty-five trillion, seven hundred eighty-four billion, five hundred fifty-four million, nine hundred twenty-three thousand, six hundred eighty-eight".