66538216083339 has 700 divisors, whose sum is σ = 138678358792632. Its totient is φ = 31906437282720.

The previous prime is 66538216083329. The next prime is 66538216083349. The reversal of 66538216083339 is 93338061283566.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

66538216083339 is a `hidden beast` number, since 6 + 6 + 5 + 3 + 8 + 216 + 0 + 83 + 339 = 666.

It is an interprime number because it is at equal distance from previous prime (66538216083329) and next prime (66538216083349).

It is not a de Polignac number, because 66538216083339 - 2³¹ = 66536068599691 is a prime.

It is a super-2 number, since 2×66538216083339² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 66538216083339 = 9867³ + 40326³ = 27027³ + 36036³.

It is not an unprimeable number, because it can be changed into a prime (66538216083329) by changing a digit.

It is a polite number, since it can be written in 699 ways as a sum of consecutive naturals, for example, 5118324314097 + ... + 5118324314109.

Almost surely, 2^{66538216083339} is an apocalyptic number.

66538216083339 is an abundant number, since it is smaller than the sum of its proper divisors (72140142709293).

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

66538216083339 is an frugal number, since it uses more digits than its factorization.

66538216083339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 66538216083339 in words is "sixty-six trillion, five hundred thirty-eight billion, two hundred sixteen million, eighty-three thousand, three hundred thirty-nine".