465982848001 has 16 divisors (see below), whose sum is σ = 526091967360. Its totient is φ = 408843675520.

The previous prime is 465982847983. The next prime is 465982848053. The reversal of 465982848001 is 100848289564.

It is a cyclic number.

It is not a de Polignac number, because 465982848001 - 2⁷ = 465982847873 is a prime.

It is a super-2 number, since 2×465982848001² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (465982848061) 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 15 ways as a sum of consecutive naturals, for example, 471501 + ... + 1074373.

It is an arithmetic number, because the mean of its divisors is an integer number (32880747960).

Almost surely, 2^465982848001 is an apocalyptic number.

It is an amenable number.

465982848001 is a deficient number, since it is larger than the sum of its proper divisors (60109119359).

465982848001 is a wasteful number, since it uses less digits than its factorization.

465982848001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605336.

The product of its (nonzero) digits is 4423680, while the sum is 55.

The spelling of 465982848001 in words is "four hundred sixty-five billion, nine hundred eighty-two million, eight hundred forty-eight thousand, one".