16240126249216 has 81 divisors (see below), whose sum is σ = 32964933306123. Its totient is φ = 7985012981760.

The previous prime is 16240126249213. The next prime is 16240126249231. The reversal of 16240126249216 is 61294262104261.

The square root of 16240126249216 is 4029904.

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 4448319682816 + 11791806566400 = 2109104^2 + 3433920^2 .

It is a super-2 number, since 2×16240126249216² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16240126249211) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3933184240 + ... + 3933188368.

Almost surely, 2^{16240126249216} is an apocalyptic number.

16240126249216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16240126249216 is the 4029904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16240126249216

16240126249216 is an abundant number, since it is smaller than the sum of its proper divisors (16724807056907).

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

16240126249216 is an frugal number, since it uses more digits than its factorization.

16240126249216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8396 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 16240126249216 in words is "sixteen trillion, two hundred forty billion, one hundred twenty-six million, two hundred forty-nine thousand, two hundred sixteen".