7914414948049 has 3 divisors (see below), whose sum is σ = 7914417761307. Its totient is φ = 7914412134792.

The previous prime is 7914414948047. The next prime is 7914414948061. The reversal of 7914414948049 is 9408494144197.

The square root of 7914414948049 is 2813257.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1432461891025 + 6481953057024 = 1196855^2 + 2545968^2 .

It is not a de Polignac number, because 7914414948049 - 2¹ = 7914414948047 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7914414948047) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1406629 + ... + 4219885.

It is an arithmetic number, because the mean of its divisors is an integer number (2638139253769).

Almost surely, 2^{7914414948049} is an apocalyptic number.

7914414948049 is the 2813257-th square number.

7914414948049 is the 1406629-th centered octagonal number.

It is an amenable number.

7914414948049 is a deficient number, since it is larger than the sum of its proper divisors (2813258).

7914414948049 is an frugal number, since it uses more digits than its factorization.

7914414948049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626514 (or 2813257 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 64.

Multiplying 7914414948049 by its sum of digits (64), we get a square (506522556675136 = 22506056²).

The spelling of 7914414948049 in words is "seven trillion, nine hundred fourteen billion, four hundred fourteen million, nine hundred forty-eight thousand, forty-nine".