505106014343436 has 96 divisors (see below), whose sum is σ = 1429053069749760. Its totient is φ = 153012028276800.

The previous prime is 505106014343389. The next prime is 505106014343449. The reversal of 505106014343436 is 634343410601505.

505106014343436 is a `hidden beast` number, since 5 + 0 + 5 + 1 + 0 + 601 + 4 + 3 + 4 + 3 + 4 + 36 = 666.

It is a super-2 number, since 2×505106014343436² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505106014343391 and 505106014343400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66390960 + ... + 73606871.

It is an arithmetic number, because the mean of its divisors is an integer number (14885969476560).

Almost surely, 2^{505106014343436} is an apocalyptic number.

It is an amenable number.

505106014343436 is an abundant number, since it is smaller than the sum of its proper divisors (923947055406324).

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

505106014343436 is a wasteful number, since it uses less digits than its factorization.

505106014343436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140000892 (or 140000884 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 505106014343436 in words is "five hundred five trillion, one hundred six billion, fourteen million, three hundred forty-three thousand, four hundred thirty-six".