16766271144 has 192 divisors, whose sum is σ = 53496218880. Its totient is φ = 4644864000.

The previous prime is 16766271121. The next prime is 16766271157. The reversal of 16766271144 is 44117266761.

16766271144 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 627 + 1 + 14 + 4 = 666.

It is a super-2 number, since 2×16766271144² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16766271144.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2178984 + ... + 2186664.

It is an arithmetic number, because the mean of its divisors is an integer number (278626140).

Almost surely, 2^16766271144 is an apocalyptic number.

16766271144 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 16766271144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26748109440).

16766271144 is an abundant number, since it is smaller than the sum of its proper divisors (36729947736).

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

16766271144 is a wasteful number, since it uses less digits than its factorization.

16766271144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7832 (or 7825 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 16766271144 in words is "sixteen billion, seven hundred sixty-six million, two hundred seventy-one thousand, one hundred forty-four".