540686458656 has 72 divisors (see below), whose sum is σ = 1540069644204. Its totient is φ = 179936655360.

The previous prime is 540686458633. The next prime is 540686458679. The reversal of 540686458656 is 656854686045.

It is a happy number.

540686458656 is a `hidden beast` number, since 5 + 40 + 6 + 8 + 6 + 4 + 586 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (540686458633) and next prime (540686458679).

It can be written as a sum of positive squares in 2 ways, for example, as 538374387600 + 2312071056 = 733740^2 + 48084^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 540686458593 and 540686458602.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1343685 + ... + 1699076.

Almost surely, 2^540686458656 is an apocalyptic number.

It is an amenable number.

540686458656 is an abundant number, since it is smaller than the sum of its proper divisors (999383185548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

540686458656 is a wasteful number, since it uses less digits than its factorization.

540686458656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043394 (or 3043383 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 540686458656 in words is "five hundred forty billion, six hundred eighty-six million, four hundred fifty-eight thousand, six hundred fifty-six".