16681681296 has 160 divisors (see below), whose sum is σ = 55383121920. Its totient is φ = 4708699776.

The previous prime is 16681681271. The next prime is 16681681319. The reversal of 16681681296 is 69218618661.

It is a super-2 number, since 2×16681681296² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217761 + ... + 284223.

It is an arithmetic number, because the mean of its divisors is an integer number (346144512).

Almost surely, 2^16681681296 is an apocalyptic number.

16681681296 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 16681681296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27691560960).

16681681296 is an abundant number, since it is smaller than the sum of its proper divisors (38701440624).

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

16681681296 is a wasteful number, since it uses less digits than its factorization.

16681681296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66570 (or 66558 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 16681681296 in words is "sixteen billion, six hundred eighty-one million, six hundred eighty-one thousand, two hundred ninety-six".