16582227984 has 375 divisors, whose sum is σ = 56766895053. Its totient is φ = 4672878336.

The previous prime is 16582227923. The next prime is 16582227989. The reversal of 16582227984 is 48972228561.

The square root of 16582227984 is 128772.

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

It can be written as a sum of positive squares in only one way, i.e., 9412880400 + 7169347584 = 97020^2 + 84672^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 16582227984.

It is not an unprimeable number, because it can be changed into a prime (16582227989) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 227153772 + ... + 227153844.

Almost surely, 2^16582227984 is an apocalyptic number.

16582227984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

16582227984 is the 128772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16582227984

16582227984 is an abundant number, since it is smaller than the sum of its proper divisors (40184667069).

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

16582227984 is an frugal number, since it uses more digits than its factorization.

16582227984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 85 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 16582227984 in words is "sixteen billion, five hundred eighty-two million, two hundred twenty-seven thousand, nine hundred eighty-four".