54642844824645 has 64 divisors (see below), whose sum is σ = 115413703151616. Its totient is φ = 21372907975680.

The previous prime is 54642844824641. The next prime is 54642844824647.

54642844824645 is nontrivially palindromic in base 10.

54642844824645 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 54642844824645 - 2² = 54642844824641 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54642844824641) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1391445729 + ... + 1391484998.

It is an arithmetic number, because the mean of its divisors is an integer number (1803339111744).

Almost surely, 2^{54642844824645} is an apocalyptic number.

54642844824645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54642844824645 is an abundant number, since it is smaller than the sum of its proper divisors (60770858326971).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54642844824645 is a wasteful number, since it uses less digits than its factorization.

54642844824645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782930770.

The product of its digits is 943718400, while the sum is 66.

The spelling of 54642844824645 in words is "fifty-four trillion, six hundred forty-two billion, eight hundred forty-four million, eight hundred twenty-four thousand, six hundred forty-five".