16322117124096 has 945 divisors, whose sum is σ = 57276033037419. Its totient is φ = 4635537113088.

The previous prime is 16322117124077. The next prime is 16322117124097. The reversal of 16322117124096 is 69042171122361.

The square root of 16322117124096 is 4040064.

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

16322117124096 is a `hidden beast` number, since 1 + 6 + 3 + 221 + 1 + 7 + 12 + 409 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (16322117124097) 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, 97737228205 + ... + 97737228371.

Almost surely, 2^{16322117124096} is an apocalyptic number.

16322117124096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16322117124096 is the 4040064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16322117124096

16322117124096 is an abundant number, since it is smaller than the sum of its proper divisors (40953915913323).

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

16322117124096 is an frugal number, since it uses more digits than its factorization.

16322117124096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 16322117124096 in words is "sixteen trillion, three hundred twenty-two billion, one hundred seventeen million, one hundred twenty-four thousand, ninety-six".