363072271100413 has 16 divisors (see below), whose sum is σ = 416915621005824. Its totient is φ = 309722957958960.

The previous prime is 363072271100411. The next prime is 363072271100419. The reversal of 363072271100413 is 314001172270363.

It is a happy number.

It is not a de Polignac number, because 363072271100413 - 2¹ = 363072271100411 is a prime.

It is a super-3 number, since 3×363072271100413³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363072271100411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63713706 + ... + 69177892.

It is an arithmetic number, because the mean of its divisors is an integer number (26057226312864).

Almost surely, 2^{363072271100413} is an apocalyptic number.

It is an amenable number.

363072271100413 is a deficient number, since it is larger than the sum of its proper divisors (53843349905411).

363072271100413 is a wasteful number, since it uses less digits than its factorization.

363072271100413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5509392.

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 363072271100413 in words is "three hundred sixty-three trillion, seventy-two billion, two hundred seventy-one million, one hundred thousand, four hundred thirteen".