216731513014416 has 315 divisors, whose sum is σ = 633178525305027. Its totient is φ = 71834159309760.

The previous prime is 216731513014411. The next prime is 216731513014543. The reversal of 216731513014416 is 614410315137612.

The square root of 216731513014416 is 14721804.

It is a perfect power (a square), and thus also a powerful number.

216731513014416 is a `hidden beast` number, since 2 + 1 + 6 + 73 + 1 + 5 + 130 + 1 + 441 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (216731513014411) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 430877759221 + ... + 430877759723.

Almost surely, 2^{216731513014416} is an apocalyptic number.

216731513014416 is the 14721804-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216731513014416

216731513014416 is an abundant number, since it is smaller than the sum of its proper divisors (416447012290611).

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

216731513014416 is an frugal number, since it uses more digits than its factorization.

216731513014416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 216731513014416 in words is "two hundred sixteen trillion, seven hundred thirty-one billion, five hundred thirteen million, fourteen thousand, four hundred sixteen".