54642624645 has 96 divisors (see below), whose sum is σ = 104843870208. Its totient is φ = 24217882752.

The previous prime is 54642624611. The next prime is 54642624653.

It is a happy number.

54642624645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54642624645 - 2¹³ = 54642616453 is a prime.

It is a super-3 number, since 3×54642624645³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54642624594 and 54642624603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3688924 + ... + 3703706.

It is an arithmetic number, because the mean of its divisors is an integer number (1092123648).

Almost surely, 2^54642624645 is an apocalyptic number.

It is an amenable number.

54642624645 is a deficient number, since it is larger than the sum of its proper divisors (50201245563).

54642624645 is a wasteful number, since it uses less digits than its factorization.

54642624645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14959 (or 14952 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 48.

The spelling of 54642624645 in words is "fifty-four billion, six hundred forty-two million, six hundred twenty-four thousand, six hundred forty-five".