2763227991616 has 63 divisors (see below), whose sum is σ = 5603695852657. Its totient is φ = 1351912090880.

The previous prime is 2763227991613. The next prime is 2763227991647. The reversal of 2763227991616 is 6161997223672.

It is a happy number.

The square root of 2763227991616 is 1662296.

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., 2294934129216 + 468293862400 = 1514904^2 + 684320^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2763227991613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 625021086 + ... + 625025506.

Almost surely, 2^{2763227991616} is an apocalyptic number.

2763227991616 is the 1662296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2763227991616

2763227991616 is an abundant number, since it is smaller than the sum of its proper divisors (2840467861041).

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

2763227991616 is an frugal number, since it uses more digits than its factorization.

2763227991616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8948 (or 4470 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 61.

The spelling of 2763227991616 in words is "two trillion, seven hundred sixty-three billion, two hundred twenty-seven million, nine hundred ninety-one thousand, six hundred sixteen".