363598881636081 has 128 divisors (see below), whose sum is σ = 607398543360000. Its totient is φ = 188359545242880.

The previous prime is 363598881636073. The next prime is 363598881636113. The reversal of 363598881636081 is 180636188895363.

It is not a de Polignac number, because 363598881636081 - 2³ = 363598881636073 is a prime.

It is a super-2 number, since 2×363598881636081² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 363598881635994 and 363598881636012.

It is not an unprimeable number, because it can be changed into a prime (363598881636071) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9410133160 + ... + 9410171798.

It is an arithmetic number, because the mean of its divisors is an integer number (4745301120000).

Almost surely, 2^{363598881636081} is an apocalyptic number.

It is an amenable number.

363598881636081 is a deficient number, since it is larger than the sum of its proper divisors (243799661723919).

363598881636081 is a wasteful number, since it uses less digits than its factorization.

363598881636081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40259.

The product of its (nonzero) digits is 1074954240, while the sum is 75.

The spelling of 363598881636081 in words is "three hundred sixty-three trillion, five hundred ninety-eight billion, eight hundred eighty-one million, six hundred thirty-six thousand, eighty-one".