16422985689264 has 960 divisors, whose sum is σ = 63487763189760. Its totient is φ = 3980790696960.

The previous prime is 16422985689251. The next prime is 16422985689289. The reversal of 16422985689264 is 46298658922461.

16422985689264 is a `hidden beast` number, since 1 + 6 + 4 + 229 + 85 + 68 + 9 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16422985689192 and 16422985689201.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 381084102 + ... + 381127194.

It is an arithmetic number, because the mean of its divisors is an integer number (66133086656).

Almost surely, 2^{16422985689264} is an apocalyptic number.

16422985689264 is a gapful number since it is divisible by the number (14) 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 16422985689264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31743881594880).

16422985689264 is an abundant number, since it is smaller than the sum of its proper divisors (47064777500496).

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

16422985689264 is a wasteful number, since it uses less digits than its factorization.

16422985689264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43220 (or 43202 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 16422985689264 in words is "sixteen trillion, four hundred twenty-two billion, nine hundred eighty-five million, six hundred eighty-nine thousand, two hundred sixty-four".