5461080801645 has 48 divisors (see below), whose sum is σ = 10166236535808. Its totient is φ = 2496017784960.

The previous prime is 5461080801559. The next prime is 5461080801653.

5461080801645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5461080801645 - 2¹⁰ = 5461080800621 is a prime.

It is a super-3 number, since 3×5461080801645³ (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5461080801594 and 5461080801603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3160692 + ... + 4572978.

It is an arithmetic number, because the mean of its divisors is an integer number (211796594496).

Almost surely, 2^{5461080801645} is an apocalyptic number.

It is an amenable number.

5461080801645 is a deficient number, since it is larger than the sum of its proper divisors (4705155734163).

5461080801645 is a wasteful number, since it uses less digits than its factorization.

5461080801645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417570 (or 1417563 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 5461080801645 in words is "five trillion, four hundred sixty-one billion, eighty million, eight hundred one thousand, six hundred forty-five".