216281414369664 has 640 divisors, whose sum is σ = 779010878891520. Its totient is φ = 58149231575040.

The previous prime is 216281414369551. The next prime is 216281414369743. The reversal of 216281414369664 is 466963414182612.

216281414369664 is a `hidden beast` number, since 2 + 1 + 62 + 81 + 4 + 1 + 436 + 9 + 6 + 64 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8867250909 + ... + 8867275299.

It is an arithmetic number, because the mean of its divisors is an integer number (1217204498268).

Almost surely, 2^{216281414369664} is an apocalyptic number.

216281414369664 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 216281414369664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389505439445760).

216281414369664 is an abundant number, since it is smaller than the sum of its proper divisors (562729464521856).

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

216281414369664 is a wasteful number, since it uses less digits than its factorization.

216281414369664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31628 (or 31607 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 63.

The spelling of 216281414369664 in words is "two hundred sixteen trillion, two hundred eighty-one billion, four hundred fourteen million, three hundred sixty-nine thousand, six hundred sixty-four".