56145755754165 has 144 divisors (see below), whose sum is σ = 120908927482560. Its totient is φ = 22105231948800.

The previous prime is 56145755754149. The next prime is 56145755754191.

56145755754165 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 56145755754165 - 2⁴ = 56145755754149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56145755754096 and 56145755754105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14923716 + ... + 18303245.

It is an arithmetic number, because the mean of its divisors is an integer number (839645329740).

Almost surely, 2^{56145755754165} is an apocalyptic number.

56145755754165 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56145755754165 is an abundant number, since it is smaller than the sum of its proper divisors (64763171728395).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56145755754165 is a wasteful number, since it uses less digits than its factorization.

56145755754165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33227024 (or 33227006 counting only the distinct ones).

The product of its digits is 441000000, while the sum is 66.

The spelling of 56145755754165 in words is "fifty-six trillion, one hundred forty-five billion, seven hundred fifty-five million, seven hundred fifty-four thousand, one hundred sixty-five".