16711249984 has 189 divisors, whose sum is σ = 39822035799. Its totient is φ = 6949662720.

The previous prime is 16711249981. The next prime is 16711249993. The reversal of 16711249984 is 48994211761.

The square root of 16711249984 is 129272.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12470635584 + 4240614400 = 111672^2 + 65120^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (16711249981) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 147887112 + ... + 147887224.

Almost surely, 2^16711249984 is an apocalyptic number.

16711249984 is the 129272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16711249984

16711249984 is an abundant number, since it is smaller than the sum of its proper divisors (23110785815).

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

16711249984 is a wasteful number, since it uses less digits than its factorization.

16711249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 139 counting only the distinct ones).

The product of its digits is 870912, while the sum is 52.

The spelling of 16711249984 in words is "sixteen billion, seven hundred eleven million, two hundred forty-nine thousand, nine hundred eighty-four".