461564020401 has 48 divisors (see below), whose sum is σ = 743013841920. Its totient is φ = 253490450400.

The previous prime is 461564020397. The next prime is 461564020403. The reversal of 461564020401 is 104020465164.

It is not a de Polignac number, because 461564020401 - 2² = 461564020397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (461564020403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1296205 + ... + 1613466.

It is an arithmetic number, because the mean of its divisors is an integer number (15479455040).

Almost surely, 2^461564020401 is an apocalyptic number.

It is an amenable number.

461564020401 is a deficient number, since it is larger than the sum of its proper divisors (281449821519).

461564020401 is a wasteful number, since it uses less digits than its factorization.

461564020401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909738 (or 2909727 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 461564020401 its reverse (104020465164), we get a palindrome (565584485565).

The spelling of 461564020401 in words is "four hundred sixty-one billion, five hundred sixty-four million, twenty thousand, four hundred one".