13364400446331 has 32 divisors (see below), whose sum is σ = 19964927659776. Its totient is φ = 7880562576000.

The previous prime is 13364400446317. The next prime is 13364400446347.

13364400446331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13364400446331 - 2⁹ = 13364400445819 is a prime.

It is a super-2 number, since 2×13364400446331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13364400446381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82814301 + ... + 82975521.

It is an arithmetic number, because the mean of its divisors is an integer number (623903989368).

Almost surely, 2^{13364400446331} is an apocalyptic number.

13364400446331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13364400446331 is a deficient number, since it is larger than the sum of its proper divisors (6600527213445).

13364400446331 is a wasteful number, since it uses less digits than its factorization.

13364400446331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229163.

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 13364400446331 in words is "thirteen trillion, three hundred sixty-four billion, four hundred million, four hundred forty-six thousand, three hundred thirty-one".