54346464345 has 64 divisors (see below), whose sum is σ = 89119296000. Its totient is φ = 28272291840.

The previous prime is 54346464301. The next prime is 54346464371.

54346464345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54346464345 - 2¹² = 54346460249 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54346464294 and 54346464303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90728356 + ... + 90728954.

It is an arithmetic number, because the mean of its divisors is an integer number (1392489000).

Almost surely, 2^54346464345 is an apocalyptic number.

It is an amenable number.

54346464345 is a deficient number, since it is larger than the sum of its proper divisors (34772831655).

54346464345 is a wasteful number, since it uses less digits than its factorization.

54346464345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330.

The product of its digits is 8294400, while the sum is 48.

The spelling of 54346464345 in words is "fifty-four billion, three hundred forty-six million, four hundred sixty-four thousand, three hundred forty-five".