542214412245 has 72 divisors (see below), whose sum is σ = 1035975566808. Its totient is φ = 262146170880.

The previous prime is 542214412193. The next prime is 542214412307.

542214412245 is a `hidden beast` number, since 5 + 4 + 2 + 214 + 412 + 24 + 5 = 666.

542214412245 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 3139809156 + 539074603089 = 56034^2 + 734217^2 .

It is a de Polignac number, because none of the positive numbers 2^k-542214412245 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1781037 + ... + 2063133.

It is an arithmetic number, because the mean of its divisors is an integer number (14388549539).

Almost surely, 2^542214412245 is an apocalyptic number.

542214412245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542214412245 is a deficient number, since it is larger than the sum of its proper divisors (493761154563).

542214412245 is a wasteful number, since it uses less digits than its factorization.

542214412245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282483 (or 282469 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

It can be divided in two parts, 542214 and 412245, that added together give a palindrome (954459).

The spelling of 542214412245 in words is "five hundred forty-two billion, two hundred fourteen million, four hundred twelve thousand, two hundred forty-five".