2468534318649 has 243 divisors, whose sum is σ = 4603627348047. Its totient is φ = 1319470217856.

The previous prime is 2468534318599. The next prime is 2468534318659. The reversal of 2468534318649 is 9468134358642.

The square root of 2468534318649 is 1571157.

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

2468534318649 is a `hidden beast` number, since 2 + 4 + 6 + 8 + 534 + 31 + 8 + 64 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1921869279225 + 546665039424 = 1386315^2 + 739368^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 2468534318649 - 2²⁷ = 2468400100921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2468534318659) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 15144382242 + ... + 15144382404.

Almost surely, 2^{2468534318649} is an apocalyptic number.

2468534318649 is the 1571157-th square number.

2468534318649 is the 785579-th centered octagonal number.

It is an amenable number.

2468534318649 is a deficient number, since it is larger than the sum of its proper divisors (2135093029398).

2468534318649 is an frugal number, since it uses more digits than its factorization.

2468534318649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 190 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 2468534318649 in words is "two trillion, four hundred sixty-eight billion, five hundred thirty-four million, three hundred eighteen thousand, six hundred forty-nine".