54566400345 has 8 divisors (see below), whose sum is σ = 87306240576. Its totient is φ = 29102080176.

The previous prime is 54566400311. The next prime is 54566400367. The reversal of 54566400345 is 54300466545.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 54566400345 - 2⁶ = 54566400281 is a prime.

It is a super-2 number, since 2×54566400345² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54566400297 and 54566400306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1818879997 + ... + 1818880026.

It is an arithmetic number, because the mean of its divisors is an integer number (10913280072).

Almost surely, 2^54566400345 is an apocalyptic number.

It is an amenable number.

54566400345 is a deficient number, since it is larger than the sum of its proper divisors (32739840231).

54566400345 is a wasteful number, since it uses less digits than its factorization.

54566400345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637760031.

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 54566400345 in words is "fifty-four billion, five hundred sixty-six million, four hundred thousand, three hundred forty-five".