16073075247376 has 135 divisors (see below), whose sum is σ = 36537997196133. Its totient is φ = 6829622916480.

The previous prime is 16073075247373. The next prime is 16073075247407. The reversal of 16073075247376 is 67374257037061.

The square root of 16073075247376 is 4009124.

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., 15838648848400 + 234426398976 = 3979780^2 + 484176^2 .

It is a super-2 number, since 2×16073075247376² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

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 16073075247376.

It is not an unprimeable number, because it can be changed into a prime (16073075247373) 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, 14705466286 + ... + 14705467378.

Almost surely, 2^{16073075247376} is an apocalyptic number.

16073075247376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16073075247376 is the 4009124-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16073075247376

16073075247376 is an abundant number, since it is smaller than the sum of its proper divisors (20464921948757).

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

16073075247376 is an frugal number, since it uses more digits than its factorization.

16073075247376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 31116960, while the sum is 58.

The spelling of 16073075247376 in words is "sixteen trillion, seventy-three billion, seventy-five million, two hundred forty-seven thousand, three hundred seventy-six".