54336244263345 has 48 divisors (see below), whose sum is σ = 106177711503360. Its totient is φ = 26344845695520.

The previous prime is 54336244263281. The next prime is 54336244263421.

It is a happy number.

54336244263345 is a `hidden beast` number, since 5 + 4 + 3 + 3 + 624 + 4 + 2 + 6 + 3 + 3 + 4 + 5 = 666.

54336244263345 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54336244263345 - 2⁶ = 54336244263281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54336244263291 and 54336244263300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1663168369 + ... + 1663201038.

It is an arithmetic number, because the mean of its divisors is an integer number (2212035656320).

Almost surely, 2^{54336244263345} is an apocalyptic number.

54336244263345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54336244263345 is a deficient number, since it is larger than the sum of its proper divisors (51841467240015).

54336244263345 is a wasteful number, since it uses less digits than its factorization.

54336244263345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326369443 (or 3326369426 counting only the distinct ones).

The product of its digits is 74649600, while the sum is 54.

It can be divided in two parts, 5433624 and 4263345, that added together give a palindrome (9696969).

The spelling of 54336244263345 in words is "fifty-four trillion, three hundred thirty-six billion, two hundred forty-four million, two hundred sixty-three thousand, three hundred forty-five".