21614161716 has 384 divisors, whose sum is σ = 68279500800. Its totient is φ = 5784929280.

The previous prime is 21614161693. The next prime is 21614161717. The reversal of 21614161716 is 61716141612.

21614161716 is a `hidden beast` number, since 2 + 1 + 614 + 16 + 17 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21614161717) 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 127 ways as a sum of consecutive naturals, for example, 96924381 + ... + 96924603.

It is an arithmetic number, because the mean of its divisors is an integer number (177811200).

Almost surely, 2^21614161716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21614161716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34139750400).

21614161716 is an abundant number, since it is smaller than the sum of its proper divisors (46665339084).

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

21614161716 is a wasteful number, since it uses less digits than its factorization.

21614161716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 388 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The spelling of 21614161716 in words is "twenty-one billion, six hundred fourteen million, one hundred sixty-one thousand, seven hundred sixteen".