2137724713216 has 27 divisors (see below), whose sum is σ = 4267145635473. Its totient is φ = 1068850659840.

The previous prime is 2137724713211. The next prime is 2137724713219. The reversal of 2137724713216 is 6123174277312.

The square root of 2137724713216 is 1462096.

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., 1749545871616 + 388178841600 = 1322704^2 + 623040^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2137724713211) 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 2 ways as a sum of consecutive naturals, for example, 23347846 + ... + 23439226.

Almost surely, 2^{2137724713216} is an apocalyptic number.

2137724713216 is the 1462096-th square number.

It is an amenable number.

2137724713216 is a deficient number, since it is larger than the sum of its proper divisors (2129420922257).

2137724713216 is an frugal number, since it uses more digits than its factorization.

2137724713216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182778 (or 91383 counting only the distinct ones).

The product of its digits is 592704, while the sum is 46.

The spelling of 2137724713216 in words is "two trillion, one hundred thirty-seven billion, seven hundred twenty-four million, seven hundred thirteen thousand, two hundred sixteen".