54667344376645 has 256 divisors, whose sum is σ = 90958699560960. Its totient is φ = 30442106880000.

The previous prime is 54667344376621. The next prime is 54667344376669.

54667344376645 is nontrivially palindromic in base 10.

54667344376645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54667344376621) and next prime (54667344376669).

It is not a de Polignac number, because 54667344376645 - 2¹⁷ = 54667344245573 is a prime.

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 13402141716 + ... + 13402145794.

It is an arithmetic number, because the mean of its divisors is an integer number (355307420160).

Almost surely, 2^{54667344376645} is an apocalyptic number.

54667344376645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54667344376645 is a deficient number, since it is larger than the sum of its proper divisors (36291355184315).

54667344376645 is a wasteful number, since it uses less digits than its factorization.

54667344376645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668.

The product of its digits is 3657830400, while the sum is 70.

The spelling of 54667344376645 in words is "fifty-four trillion, six hundred sixty-seven billion, three hundred forty-four million, three hundred seventy-six thousand, six hundred forty-five".