363461004613201 has 72 divisors (see below), whose sum is σ = 421593506127360. Its totient is φ = 313064956364160.

The previous prime is 363461004613177. The next prime is 363461004613237. The reversal of 363461004613201 is 102316400164363.

It is a de Polignac number, because none of the positive numbers 2^k-363461004613201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (363461004613501) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4060110120 + ... + 4060199638.

It is an arithmetic number, because the mean of its divisors is an integer number (5855465362880).

Almost surely, 2^{363461004613201} is an apocalyptic number.

It is an amenable number.

363461004613201 is a deficient number, since it is larger than the sum of its proper divisors (58132501514159).

363461004613201 is a wasteful number, since it uses less digits than its factorization.

363461004613201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90187 (or 90153 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

Adding to 363461004613201 its reverse (102316400164363), we get a palindrome (465777404777564).

The spelling of 363461004613201 in words is "three hundred sixty-three trillion, four hundred sixty-one billion, four million, six hundred thirteen thousand, two hundred one".