54360600606345 has 32 divisors (see below), whose sum is σ = 97944730251264. Its totient is φ = 25506440164800.

The previous prime is 54360600606337. The next prime is 54360600606349.

54360600606345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54360600606345 - 2³ = 54360600606337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54360600606294 and 54360600606303.

It is not an unprimeable number, because it can be changed into a prime (54360600606349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5313836587 + ... + 5313846816.

It is an arithmetic number, because the mean of its divisors is an integer number (3060772820352).

Almost surely, 2^{54360600606345} is an apocalyptic number.

54360600606345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54360600606345 is a deficient number, since it is larger than the sum of its proper divisors (43584129644919).

54360600606345 is a wasteful number, since it uses less digits than its factorization.

54360600606345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10627683453.

The product of its (nonzero) digits is 4665600, while the sum is 48.

It can be divided in two parts, 54360600 and 606345, that added together give a palindrome (54966945).

The spelling of 54360600606345 in words is "fifty-four trillion, three hundred sixty billion, six hundred million, six hundred six thousand, three hundred forty-five".