54677877877645 has 96 divisors (see below), whose sum is σ = 72687369718656. Its totient is φ = 39454944376320.

The previous prime is 54677877877607. The next prime is 54677877877681.

54677877877645 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-54677877877645 is a prime.

It is a super-3 number, since 3×54677877877645³ (a number of 42 digits) contains 333 as substring.

Its product of digits (108425318400) is a multiple of the sum of its prime divisors (2352).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 64100677039 + ... + 64100677891.

It is an arithmetic number, because the mean of its divisors is an integer number (757160101236).

Almost surely, 2^{54677877877645} is an apocalyptic number.

54677877877645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54677877877645 is a deficient number, since it is larger than the sum of its proper divisors (18009491841011).

54677877877645 is a wasteful number, since it uses less digits than its factorization.

54677877877645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2352 counting only the distinct ones).

The product of its digits is 108425318400, while the sum is 88.

The spelling of 54677877877645 in words is "fifty-four trillion, six hundred seventy-seven billion, eight hundred seventy-seven million, eight hundred seventy-seven thousand, six hundred forty-five".