54348084345 has 16 divisors (see below), whose sum is σ = 87817897152. Its totient is φ = 28698657600.

The previous prime is 54348084331. The next prime is 54348084359.

54348084345 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (54348084331) and next prime (54348084359).

It is not a de Polignac number, because 54348084345 - 2⁶ = 54348084281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54348084294 and 54348084303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17935147 + ... + 17938176.

It is an arithmetic number, because the mean of its divisors is an integer number (5488618572).

Almost surely, 2^54348084345 is an apocalyptic number.

It is an amenable number.

54348084345 is a deficient number, since it is larger than the sum of its proper divisors (33469812807).

54348084345 is a wasteful number, since it uses less digits than its factorization.

54348084345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35873432.

The product of its (nonzero) digits is 3686400, while the sum is 48.

The spelling of 54348084345 in words is "fifty-four billion, three hundred forty-eight million, eighty-four thousand, three hundred forty-five".