543454787454345 has 288 divisors, whose sum is σ = 1091107523282400. Its totient is φ = 249226614374400.

The previous prime is 543454787454329. The next prime is 543454787454431.

It is a happy number.

543454787454345 is a `hidden beast` number, since 5 + 4 + 3 + 4 + 5 + 4 + 7 + 8 + 74 + 543 + 4 + 5 = 666.

543454787454345 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 48 ways, for example, as 497321934112656 + 46132853341689 = 22300716^2 + 6792117^2 .

It is not a de Polignac number, because 543454787454345 - 2⁴ = 543454787454329 is a prime.

It is a super-4 number, since 4×543454787454345⁴ (a number of 60 digits) contains 4444 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 48744705831 + ... + 48744716979.

It is an arithmetic number, because the mean of its divisors is an integer number (3788567789175).

Almost surely, 2^{543454787454345} is an apocalyptic number.

It is an amenable number.

543454787454345 is an abundant number, since it is smaller than the sum of its proper divisors (547652735828055).

543454787454345 is a wasteful number, since it uses less digits than its factorization.

543454787454345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15037 (or 15021 counting only the distinct ones).

The product of its digits is 9031680000, while the sum is 72.

The spelling of 543454787454345 in words is "five hundred forty-three trillion, four hundred fifty-four billion, seven hundred eighty-seven million, four hundred fifty-four thousand, three hundred forty-five".