54368086345 has 16 divisors (see below), whose sum is σ = 66185856000. Its totient is φ = 42865502400.

The previous prime is 54368086309. The next prime is 54368086349.

54368086345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54368086345 - 2⁹ = 54368085833 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54368086292 and 54368086301.

It is not an unprimeable number, because it can be changed into a prime (54368086349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948040 + ... + 1003750.

It is an arithmetic number, because the mean of its divisors is an integer number (4136616000).

Almost surely, 2^54368086345 is an apocalyptic number.

It is an amenable number.

54368086345 is a deficient number, since it is larger than the sum of its proper divisors (11817769655).

54368086345 is a wasteful number, since it uses less digits than its factorization.

54368086345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58536.

The product of its (nonzero) digits is 8294400, while the sum is 52.

The spelling of 54368086345 in words is "fifty-four billion, three hundred sixty-eight million, eighty-six thousand, three hundred forty-five".