163350363053361 has 192 divisors, whose sum is σ = 246484487208960. Its totient is φ = 96132960000000.

The previous prime is 163350363053323. The next prime is 163350363053363.

163350363053361 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 163350363053361 - 2⁷ = 163350363053233 is a prime.

It is a super-2 number, since 2×163350363053361² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 163350363053361.

It is not an unprimeable number, because it can be changed into a prime (163350363053363) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 217510469736 + ... + 217510470486.

It is an arithmetic number, because the mean of its divisors is an integer number (1283773370880).

Almost surely, 2^{163350363053361} is an apocalyptic number.

163350363053361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

163350363053361 is a deficient number, since it is larger than the sum of its proper divisors (83134124155599).

163350363053361 is a wasteful number, since it uses less digits than its factorization.

163350363053361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 48.

The spelling of 163350363053361 in words is "one hundred sixty-three trillion, three hundred fifty billion, three hundred sixty-three million, fifty-three thousand, three hundred sixty-one".