2145943729216 has 315 divisors, whose sum is σ = 5156732780367. Its totient is φ = 885973939200.

The previous prime is 2145943729211. The next prime is 2145943729231. The reversal of 2145943729216 is 6129273495412.

The square root of 2145943729216 is 1464904.

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 1598201640000 + 547742089216 = 1264200^2 + 740096^2 .

It is a super-2 number, since 2×2145943729216² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2145943729211) 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 44 ways as a sum of consecutive naturals, for example, 21246967566 + ... + 21246967666.

Almost surely, 2^{2145943729216} is an apocalyptic number.

2145943729216 is the 1464904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145943729216

2145943729216 is an abundant number, since it is smaller than the sum of its proper divisors (3010789051151).

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

2145943729216 is an frugal number, since it uses more digits than its factorization.

2145943729216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 147 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The spelling of 2145943729216 in words is "two trillion, one hundred forty-five billion, nine hundred forty-three million, seven hundred twenty-nine thousand, two hundred sixteen".