2457956077369 has 27 divisors (see below), whose sum is σ = 2695882635117. Its totient is φ = 2240003896416.

The previous prime is 2457956077361. The next prime is 2457956077427. The reversal of 2457956077369 is 9637706597542.

The square root of 2457956077369 is 1567787.

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

2457956077369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 135745822969 + 2322210254400 = 368437^2 + 1523880^2 .

It is not a de Polignac number, because 2457956077369 - 2³ = 2457956077361 is a prime.

It is a super-2 number, since 2×2457956077369² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2457956077298 and 2457956077307.

It is not an unprimeable number, because it can be changed into a prime (2457956077361) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1691641447 + ... + 1691642899.

Almost surely, 2^{2457956077369} is an apocalyptic number.

2457956077369 is the 1567787-th square number.

2457956077369 is the 783894-th centered octagonal number.

It is an amenable number.

2457956077369 is a deficient number, since it is larger than the sum of its proper divisors (237926557748).

2457956077369 is an frugal number, since it uses more digits than its factorization.

2457956077369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 600112800, while the sum is 70.

The spelling of 2457956077369 in words is "two trillion, four hundred fifty-seven billion, nine hundred fifty-six million, seventy-seven thousand, three hundred sixty-nine".