542646646245 has 64 divisors (see below), whose sum is σ = 1052898842880. Its totient is φ = 262978099200.

The previous prime is 542646646229. The next prime is 542646646247.

542646646245 is a `hidden beast` number, since 5 + 4 + 2 + 6 + 4 + 6 + 6 + 4 + 624 + 5 = 666.

542646646245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542646646245 - 2⁴ = 542646646229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542646646191 and 542646646200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542646646247) 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, 3124537 + ... + 3293633.

It is an arithmetic number, because the mean of its divisors is an integer number (16451544420).

Almost surely, 2^542646646245 is an apocalyptic number.

542646646245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542646646245 is a deficient number, since it is larger than the sum of its proper divisors (510252196635).

542646646245 is a wasteful number, since it uses less digits than its factorization.

542646646245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171283 (or 171277 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 542646646245 in words is "five hundred forty-two billion, six hundred forty-six million, six hundred forty-six thousand, two hundred forty-five".