13377631177216 has 40 divisors (see below), whose sum is σ = 26730596296404. Its totient is φ = 6688449699840.

The previous prime is 13377631177129. The next prime is 13377631177241. The reversal of 13377631177216 is 61277113677331.

It can be written as a sum of positive squares in 2 ways, for example, as 7650224937216 + 5727406240000 = 2765904^2 + 2393200^2 .

It is a super-2 number, since 2×13377631177216² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8777386 + ... + 10188118.

Almost surely, 2^{13377631177216} is an apocalyptic number.

13377631177216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13377631177216 is a deficient number, since it is larger than the sum of its proper divisors (13352965119188).

13377631177216 is an equidigital number, since it uses as much as digits as its factorization.

13377631177216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429272 (or 1429256 counting only the distinct ones).

The product of its digits is 4667544, while the sum is 55.

The spelling of 13377631177216 in words is "thirteen trillion, three hundred seventy-seven billion, six hundred thirty-one million, one hundred seventy-seven thousand, two hundred sixteen".