16993162368 has 960 divisors, whose sum is σ = 66184715520. Its totient is φ = 4284887040.

The previous prime is 16993162367. The next prime is 16993162397. The reversal of 16993162368 is 86326139961.

16993162368 is a `hidden beast` number, since 1 + 6 + 9 + 9 + 3 + 1 + 623 + 6 + 8 = 666.

16993162368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16993162368² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (16993162367) 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 119 ways as a sum of consecutive naturals, for example, 204736855 + ... + 204736937.

It is an arithmetic number, because the mean of its divisors is an integer number (68942412).

Almost surely, 2^16993162368 is an apocalyptic number.

16993162368 is a gapful number since it is divisible by the number (18) 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 16993162368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33092357760).

16993162368 is an abundant number, since it is smaller than the sum of its proper divisors (49191553152).

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

16993162368 is a wasteful number, since it uses less digits than its factorization.

16993162368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 139 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 54.

The spelling of 16993162368 in words is "sixteen billion, nine hundred ninety-three million, one hundred sixty-two thousand, three hundred sixty-eight".