54331222213345 has 32 divisors (see below), whose sum is σ = 82264492477440. Its totient is φ = 33460755829440.

The previous prime is 54331222213271. The next prime is 54331222213363.

54331222213345 is nontrivially palindromic in base 10.

54331222213345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54331222213345 - 2¹¹ = 54331222211297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54331222213298 and 54331222213307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850088875 + ... + 850152784.

It is an arithmetic number, because the mean of its divisors is an integer number (2570765389920).

Almost surely, 2^{54331222213345} is an apocalyptic number.

54331222213345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54331222213345 is a deficient number, since it is larger than the sum of its proper divisors (27933270264095).

54331222213345 is a wasteful number, since it uses less digits than its factorization.

54331222213345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700241765.

The product of its digits is 518400, while the sum is 40.

It can be divided in two parts, 5433122 and 2213345, that added together give a palindrome (7646467).

The spelling of 54331222213345 in words is "fifty-four trillion, three hundred thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, three hundred forty-five".