54654958656 has 315 divisors, whose sum is σ = 173011075237. Its totient is φ = 17056880640.

The previous prime is 54654958619. The next prime is 54654958681. The reversal of 54654958656 is 65685945645.

The square root of 54654958656 is 233784.

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

54654958656 is a `hidden beast` number, since 5 + 4 + 6 + 5 + 49 + 586 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42551438400 + 12103520256 = 206280^2 + 110016^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 54654958593 and 54654958602.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 286151521 + ... + 286151711.

Almost surely, 2^54654958656 is an apocalyptic number.

54654958656 is the 233784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54654958656

54654958656 is an abundant number, since it is smaller than the sum of its proper divisors (118356116581).

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

54654958656 is an equidigital number, since it uses as much as digits as its factorization.

54654958656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 213 counting only the distinct ones).

The product of its digits is 155520000, while the sum is 63.

The spelling of 54654958656 in words is "fifty-four billion, six hundred fifty-four million, nine hundred fifty-eight thousand, six hundred fifty-six".