217039048416 has 72 divisors (see below), whose sum is σ = 653510973024. Its totient is φ = 68090680320.

The previous prime is 217039048403. The next prime is 217039048427. The reversal of 217039048416 is 614840930712.

217039048416 is a `hidden beast` number, since 2 + 1 + 70 + 3 + 90 + 484 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22160040 + ... + 22169831.

It is an arithmetic number, because the mean of its divisors is an integer number (9076541292).

Almost surely, 2^217039048416 is an apocalyptic number.

It is an amenable number.

217039048416 is an abundant number, since it is smaller than the sum of its proper divisors (436471924608).

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

217039048416 is a wasteful number, since it uses less digits than its factorization.

217039048416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44329904 (or 44329893 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 217039048416 in words is "two hundred seventeen billion, thirty-nine million, forty-eight thousand, four hundred sixteen".