16333144133361 has 64 divisors (see below), whose sum is σ = 24323802746880. Its totient is φ = 9665604080640.

The previous prime is 16333144133311. The next prime is 16333144133477.

16333144133361 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16333144133361 - 2¹⁵ = 16333144100593 is a prime.

It is a super-2 number, since 2×16333144133361² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16333144133311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1066194060 + ... + 1066209378.

It is an arithmetic number, because the mean of its divisors is an integer number (380059417920).

Almost surely, 2^{16333144133361} is an apocalyptic number.

16333144133361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16333144133361 is a deficient number, since it is larger than the sum of its proper divisors (7990658613519).

16333144133361 is a wasteful number, since it uses less digits than its factorization.

16333144133361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19806.

The product of its digits is 419904, while the sum is 42.

It can be divided in two parts, 1633314 and 4133361, that added together give a palindrome (5766675).

The spelling of 16333144133361 in words is "sixteen trillion, three hundred thirty-three billion, one hundred forty-four million, one hundred thirty-three thousand, three hundred sixty-one".