217338972056048 has 40 divisors (see below), whose sum is σ = 439622517120000. Its totient is φ = 103892727052224.

The previous prime is 217338972056039. The next prime is 217338972056051. The reversal of 217338972056048 is 840650279833712.

217338972056048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×217338972056048² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146986988 + ... + 148458251.

It is an arithmetic number, because the mean of its divisors is an integer number (10990562928000).

It is a 1-persistent number, because it is pandigital, but 2⋅217338972056048 = 434677944112096 is not.

Almost surely, 2^{217338972056048} is an apocalyptic number.

It is an amenable number.

217338972056048 is an abundant number, since it is smaller than the sum of its proper divisors (222283545063952).

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

217338972056048 is a wasteful number, since it uses less digits than its factorization.

217338972056048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295447269 (or 295447263 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 65.

The spelling of 217338972056048 in words is "two hundred seventeen trillion, three hundred thirty-eight billion, nine hundred seventy-two million, fifty-six thousand, forty-eight".