104457508413345 has 24 divisors (see below), whose sum is σ = 181241285822376. Its totient is φ = 55654792823808.

The previous prime is 104457508413301. The next prime is 104457508413347. The reversal of 104457508413345 is 543314805754401.

104457508413345 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 57 + 508 + 41 + 3 + 3 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33825065028624 + 70632443384721 = 5815932^2 + 8404311^2 .

It is not a de Polignac number, because 104457508413345 - 2⁹ = 104457508412833 is a prime.

It is a super-2 number, since 2×104457508413345² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104457508413291 and 104457508413300.

It is not an unprimeable number, because it can be changed into a prime (104457508413347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1164086512 + ... + 1164176241.

It is an arithmetic number, because the mean of its divisors is an integer number (7551720242599).

Almost surely, 2^{104457508413345} is an apocalyptic number.

104457508413345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104457508413345 is a deficient number, since it is larger than the sum of its proper divisors (76783777409031).

104457508413345 is a wasteful number, since it uses less digits than its factorization.

104457508413345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328263761 (or 2328263758 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 104457508413345 in words is "one hundred four trillion, four hundred fifty-seven billion, five hundred eight million, four hundred thirteen thousand, three hundred forty-five".