7791037485049 has 81 divisors (see below), whose sum is σ = 10098416921607. Its totient is φ = 5990498736768.

The previous prime is 7791037485041. The next prime is 7791037485079. The reversal of 7791037485049 is 9405847301977.

It is a happy number.

The square root of 7791037485049 is 2791243.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2815371900649 + 4975665584400 = 1677907^2 + 2230620^2 .

It is not a de Polignac number, because 7791037485049 - 2³ = 7791037485041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7791037485041) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9398114767 + ... + 9398115595.

It is an arithmetic number, because the mean of its divisors is an integer number (124671813847).

Almost surely, 2^{7791037485049} is an apocalyptic number.

7791037485049 is the 2791243-rd square number.

7791037485049 is the 1395622-nd centered octagonal number.

It is an amenable number.

7791037485049 is a deficient number, since it is larger than the sum of its proper divisors (2307379436558).

7791037485049 is an frugal number, since it uses more digits than its factorization.

7791037485049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 64.

Multiplying 7791037485049 by its sum of digits (64), we get a square (498626399043136 = 22329944²).

The spelling of 7791037485049 in words is "seven trillion, seven hundred ninety-one billion, thirty-seven million, four hundred eighty-five thousand, forty-nine".