16711221456 has 200 divisors, whose sum is σ = 49053717504. Its totient is φ = 5491998720.

The previous prime is 16711221431. The next prime is 16711221473. The reversal of 16711221456 is 65412211761.

16711221456 is a `hidden beast` number, since 16 + 71 + 122 + 1 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 16711221456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43632241 + ... + 43632623.

Almost surely, 2^16711221456 is an apocalyptic number.

16711221456 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 16711221456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24526858752).

16711221456 is an abundant number, since it is smaller than the sum of its proper divisors (32342496048).

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

16711221456 is a wasteful number, since it uses less digits than its factorization.

16711221456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 776 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The spelling of 16711221456 in words is "sixteen billion, seven hundred eleven million, two hundred twenty-one thousand, four hundred fifty-six".