54364446345 has 48 divisors (see below), whose sum is σ = 96556493376. Its totient is φ = 26097456000.

The previous prime is 54364446343. The next prime is 54364446361.

54364446345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54364446345 - 2¹ = 54364446343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54364446294 and 54364446303.

It is not an unprimeable number, because it can be changed into a prime (54364446343) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 35034 + ... + 331596.

It is an arithmetic number, because the mean of its divisors is an integer number (2011593612).

Almost surely, 2^54364446345 is an apocalyptic number.

54364446345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54364446345 is a deficient number, since it is larger than the sum of its proper divisors (42192047031).

54364446345 is a wasteful number, since it uses less digits than its factorization.

54364446345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296694 (or 296683 counting only the distinct ones).

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

The spelling of 54364446345 in words is "fifty-four billion, three hundred sixty-four million, four hundred forty-six thousand, three hundred forty-five".