54664566546645 has 288 divisors, whose sum is σ = 107174714879232. Its totient is φ = 25747096320000.

The previous prime is 54664566546641. The next prime is 54664566546647.

54664566546645 is a `hidden beast` number, since 5 + 4 + 6 + 6 + 4 + 566 + 54 + 6 + 6 + 4 + 5 = 666.

54664566546645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54664566546645 - 2² = 54664566546641 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54664566546641) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9690578025 + ... + 9690583665.

It is an arithmetic number, because the mean of its divisors is an integer number (372134426664).

Almost surely, 2^{54664566546645} is an apocalyptic number.

54664566546645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54664566546645 is a deficient number, since it is larger than the sum of its proper divisors (52510148332587).

54664566546645 is a wasteful number, since it uses less digits than its factorization.

54664566546645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105 (or 6091 counting only the distinct ones).

The product of its digits is 7464960000, while the sum is 72.

The spelling of 54664566546645 in words is "fifty-four trillion, six hundred sixty-four billion, five hundred sixty-six million, five hundred forty-six thousand, six hundred forty-five".