16741673372281 has 135 divisors (see below), whose sum is σ = 20893491847977. Its totient is φ = 13404274884000.

The previous prime is 16741673372183. The next prime is 16741673372297. The reversal of 16741673372281 is 18227337614761.

The square root of 16741673372281 is 4091659.

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

It can be written as a sum of positive squares in 2 ways, for example, as 8300789069881 + 8440884302400 = 2881109^2 + 2905320^2 .

It is not a de Polignac number, because 16741673372281 - 2⁹ = 16741673371769 is a prime.

It is a super-2 number, since 2×16741673372281² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (14224896) is a multiple of the sum of its prime divisors (126).

It is not an unprimeable number, because it can be changed into a prime (16741673372981) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 235798216476 + ... + 235798216546.

Almost surely, 2^{16741673372281} is an apocalyptic number.

16741673372281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16741673372281 is the 4091659-th square number.

16741673372281 is the 2045830-th centered octagonal number.

It is an amenable number.

16741673372281 is a deficient number, since it is larger than the sum of its proper divisors (4151818475696).

16741673372281 is an frugal number, since it uses more digits than its factorization.

16741673372281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 126 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 58.

The spelling of 16741673372281 in words is "sixteen trillion, seven hundred forty-one billion, six hundred seventy-three million, three hundred seventy-two thousand, two hundred eighty-one".