2623597747649 has 2 divisors, whose sum is σ = 2623597747650. Its totient is φ = 2623597747648.

The previous prime is 2623597747637. The next prime is 2623597747691. The reversal of 2623597747649 is 9467477953262.

2623597747649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1771773966400 + 851823781249 = 1331080^2 + 922943^2 .

It is a cyclic number.

It is not a de Polignac number, because 2623597747649 - 2²⁴ = 2623580970433 is a prime.

It is not a weakly prime, because it can be changed into another prime (2623597747549) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1311798873824 + 1311798873825.

It is an arithmetic number, because the mean of its divisors is an integer number (1311798873825).

Almost surely, 2^{2623597747649} is an apocalyptic number.

It is an amenable number.

2623597747649 is a deficient number, since it is larger than the sum of its proper divisors (1).

2623597747649 is an equidigital number, since it uses as much as digits as its factorization.

2623597747649 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 960180480, while the sum is 71.

The spelling of 2623597747649 in words is "two trillion, six hundred twenty-three billion, five hundred ninety-seven million, seven hundred forty-seven thousand, six hundred forty-nine".