56414406345 has 32 divisors (see below), whose sum is σ = 101130111360. Its totient is φ = 26613181440.

The previous prime is 56414406337. The next prime is 56414406397. The reversal of 56414406345 is 54360441465.

It is not a de Polignac number, because 56414406345 - 2³ = 56414406337 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56414406297 and 56414406306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4614240 + ... + 4626449.

It is an arithmetic number, because the mean of its divisors is an integer number (3160315980).

Almost surely, 2^56414406345 is an apocalyptic number.

56414406345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56414406345 is a deficient number, since it is larger than the sum of its proper divisors (44715705015).

56414406345 is a wasteful number, since it uses less digits than its factorization.

56414406345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9240745.

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 56414406345 in words is "fifty-six billion, four hundred fourteen million, four hundred six thousand, three hundred forty-five".