53442244224435 has 256 divisors, whose sum is σ = 100111896428544. Its totient is φ = 24088838400000.

The previous prime is 53442244224419. The next prime is 53442244224469.

53442244224435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53442244224435 - 2⁴ = 53442244224419 is a prime.

It is a super-2 number, since 2×53442244224435² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13350546144 + ... + 13350550146.

It is an arithmetic number, because the mean of its divisors is an integer number (391062095424).

Almost surely, 2^{53442244224435} is an apocalyptic number.

53442244224435 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53442244224435 is a deficient number, since it is larger than the sum of its proper divisors (46669652204109).

53442244224435 is a wasteful number, since it uses less digits than its factorization.

53442244224435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778.

The product of its digits is 14745600, while the sum is 48.

It can be divided in two parts, 5344224 and 4224435, that added together give a palindrome (9568659).

The spelling of 53442244224435 in words is "fifty-three trillion, four hundred forty-two billion, two hundred forty-four million, two hundred twenty-four thousand, four hundred thirty-five".