216972848664 has 320 divisors, whose sum is σ = 722020068000. Its totient is φ = 60007495680.

The previous prime is 216972848641. The next prime is 216972848669. The reversal of 216972848664 is 466848279612.

216972848664 is a `hidden beast` number, since 2 + 1 + 6 + 97 + 2 + 8 + 486 + 64 = 666.

It is a super-3 number, since 3×216972848664³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216972848669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8233942 + ... + 8260250.

Almost surely, 2^216972848664 is an apocalyptic number.

216972848664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216972848664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361010034000).

216972848664 is an abundant number, since it is smaller than the sum of its proper divisors (505047219336).

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

216972848664 is a wasteful number, since it uses less digits than its factorization.

216972848664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26440 (or 26427 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 216972848664 in words is "two hundred sixteen billion, nine hundred seventy-two million, eight hundred forty-eight thousand, six hundred sixty-four".