5438668668345 has 36 divisors (see below), whose sum is σ = 10361937341028. Its totient is φ = 2636930260800.

The previous prime is 5438668668331. The next prime is 5438668668373.

5438668668345 is a `hidden beast` number, since 54 + 386 + 6 + 86 + 6 + 83 + 45 = 666.

5438668668345 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 3166591778064 + 2272076890281 = 1779492^2 + 1507341^2 .

It is not a de Polignac number, because 5438668668345 - 2⁶ = 5438668668281 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 499413166 + ... + 499424055.

Almost surely, 2^{5438668668345} is an apocalyptic number.

5438668668345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5438668668345 is a deficient number, since it is larger than the sum of its proper divisors (4923268672683).

5438668668345 is a wasteful number, since it uses less digits than its factorization.

5438668668345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998837254 (or 998837240 counting only the distinct ones).

The product of its digits is 2388787200, while the sum is 72.

The spelling of 5438668668345 in words is "five trillion, four hundred thirty-eight billion, six hundred sixty-eight million, six hundred sixty-eight thousand, three hundred forty-five".