16007072781456 has 135 divisors (see below), whose sum is σ = 46046149760793. Its totient is φ = 5190906936960.

The previous prime is 16007072781449. The next prime is 16007072781527. The reversal of 16007072781456 is 65418727070061.

The square root of 16007072781456 is 4000884.

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

16007072781456 is a `hidden beast` number, since 1 + 600 + 7 + 0 + 7 + 27 + 8 + 1 + 4 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14323348544400 + 1683724237056 = 3784620^2 + 1297584^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1776387991 + ... + 1776397001.

Almost surely, 2^{16007072781456} is an apocalyptic number.

16007072781456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16007072781456 is the 4000884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16007072781456

16007072781456 is an abundant number, since it is smaller than the sum of its proper divisors (30039076979337).

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

16007072781456 is an frugal number, since it uses more digits than its factorization.

16007072781456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18110 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 16007072781456 in words is "sixteen trillion, seven billion, seventy-two million, seven hundred eighty-one thousand, four hundred fifty-six".