16222774176 has 576 divisors, whose sum is σ = 58246594560. Its totient is φ = 4373429760.

The previous prime is 16222774157. The next prime is 16222774177. The reversal of 16222774176 is 67147722261.

16222774176 is a `hidden beast` number, since 1 + 6 + 2 + 227 + 7 + 417 + 6 = 666.

It is a super-4 number, since 4×16222774176⁴ (a number of 42 digits) contains 4444 as substring.

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 (16222774177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61683421 + ... + 61683683.

It is an arithmetic number, because the mean of its divisors is an integer number (101122560).

Almost surely, 2^16222774176 is an apocalyptic number.

16222774176 is a gapful number since it is divisible by the number (16) 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 16222774176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29123297280).

16222774176 is an abundant number, since it is smaller than the sum of its proper divisors (42023820384).

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

16222774176 is a wasteful number, since it uses less digits than its factorization.

16222774176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 353 counting only the distinct ones).

The product of its digits is 395136, while the sum is 45.

The spelling of 16222774176 in words is "sixteen billion, two hundred twenty-two million, seven hundred seventy-four thousand, one hundred seventy-six".