16406535744 has 147 divisors (see below), whose sum is σ = 48895203073. Its totient is φ = 5459622912.

The previous prime is 16406535737. The next prime is 16406535751. The reversal of 16406535744 is 44753560461.

The square root of 16406535744 is 128088.

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

16406535744 is a `hidden beast` number, since 1 + 6 + 40 + 6 + 535 + 74 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (16406535737) and next prime (16406535751).

It can be written as a sum of positive squares in only one way, i.e., 10088193600 + 6318342144 = 100440^2 + 79488^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16406535744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 27666712 + ... + 27667304.

Almost surely, 2^16406535744 is an apocalyptic number.

16406535744 is the 128088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16406535744

16406535744 is an abundant number, since it is smaller than the sum of its proper divisors (32488667329).

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

16406535744 is an frugal number, since it uses more digits than its factorization.

16406535744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

It can be divided in two parts, 164065 and 35744, that added together give a square (199809 = 447²).

The spelling of 16406535744 in words is "sixteen billion, four hundred six million, five hundred thirty-five thousand, seven hundred forty-four".