543381183345 has 192 divisors, whose sum is σ = 1191830492160. Its totient is φ = 207806860800.

The previous prime is 543381183329. The next prime is 543381183377.

543381183345 is nontrivially palindromic in base 10.

543381183345 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 543381183345 - 2⁴ = 543381183329 is a prime.

It is a super-2 number, since 2×543381183345² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 543381183294 and 543381183303.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34781946 + ... + 34797564.

It is an arithmetic number, because the mean of its divisors is an integer number (6207450480).

Almost surely, 2^543381183345 is an apocalyptic number.

543381183345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

543381183345 is an abundant number, since it is smaller than the sum of its proper divisors (648449308815).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

543381183345 is a wasteful number, since it uses less digits than its factorization.

543381183345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15996 (or 15989 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The spelling of 543381183345 in words is "five hundred forty-three billion, three hundred eighty-one million, one hundred eighty-three thousand, three hundred forty-five".