404004525523345 has 32 divisors (see below), whose sum is σ = 488407670360064. Its totient is φ = 320805648576000.

The previous prime is 404004525523219. The next prime is 404004525523411. The reversal of 404004525523345 is 543325525400404.

It is a happy number.

It is not a de Polignac number, because 404004525523345 - 2¹³ = 404004525515153 is a prime.

It is a super-2 number, since 2×404004525523345² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 404004525523295 and 404004525523304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6181849189 + ... + 6181914541.

It is an arithmetic number, because the mean of its divisors is an integer number (15262739698752).

Almost surely, 2^{404004525523345} is an apocalyptic number.

It is an amenable number.

404004525523345 is a deficient number, since it is larger than the sum of its proper divisors (84403144836719).

404004525523345 is a wasteful number, since it uses less digits than its factorization.

404004525523345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71953.

The product of its (nonzero) digits is 5760000, while the sum is 46.

The spelling of 404004525523345 in words is "four hundred four trillion, four billion, five hundred twenty-five million, five hundred twenty-three thousand, three hundred forty-five".