7458672337249 has 9 divisors (see below), whose sum is σ = 8676436998321. Its totient is φ = 6393131331300.

The previous prime is 7458672337247. The next prime is 7458672337267. The reversal of 7458672337249 is 9427332768547.

The square root of 7458672337249 is 2731057.

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

It is not a de Polignac number, because 7458672337249 - 2¹ = 7458672337247 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7458672337241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18922324 + ... + 19312474.

It is an arithmetic number, because the mean of its divisors is an integer number (964048555369).

Almost surely, 2^{7458672337249} is an apocalyptic number.

7458672337249 is the 2731057-th square number.

7458672337249 is the 1365529-th centered octagonal number.

It is an amenable number.

7458672337249 is a deficient number, since it is larger than the sum of its proper divisors (1217764661072).

7458672337249 is an frugal number, since it uses more digits than its factorization.

7458672337249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780316 (or 390158 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 67.

The spelling of 7458672337249 in words is "seven trillion, four hundred fifty-eight billion, six hundred seventy-two million, three hundred thirty-seven thousand, two hundred forty-nine".