7462769485249 has 9 divisors (see below), whose sum is σ = 8081025531363. Its totient is φ = 6888677512392.

The previous prime is 7462769485243. The next prime is 7462769485267. The reversal of 7462769485249 is 9425849672647.

The square root of 7462769485249 is 2731807.

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., 1103959983025 + 6358809502224 = 1050695^2 + 2521668^2 .

It is not a de Polignac number, because 7462769485249 - 2¹¹ = 7462769483201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7462769485243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35408422 + ... + 35618560.

It is an arithmetic number, because the mean of its divisors is an integer number (897891725707).

Almost surely, 2^{7462769485249} is an apocalyptic number.

7462769485249 is the 2731807-th square number.

7462769485249 is the 1365904-th centered octagonal number.

It is an amenable number.

7462769485249 is a deficient number, since it is larger than the sum of its proper divisors (618256046114).

7462769485249 is an frugal number, since it uses more digits than its factorization.

7462769485249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420304 (or 210152 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 73.

The spelling of 7462769485249 in words is "seven trillion, four hundred sixty-two billion, seven hundred sixty-nine million, four hundred eighty-five thousand, two hundred forty-nine".