505142202345 has 48 divisors (see below), whose sum is σ = 888536253696. Its totient is φ = 244874995200.

The previous prime is 505142202293. The next prime is 505142202377. The reversal of 505142202345 is 543202241505.

It is a happy number.

It is not a de Polignac number, because 505142202345 - 2⁹ = 505142201833 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 12145185 + ... + 12186705.

It is an arithmetic number, because the mean of its divisors is an integer number (18511171952).

Almost surely, 2^505142202345 is an apocalyptic number.

505142202345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505142202345 is a deficient number, since it is larger than the sum of its proper divisors (383394051351).

505142202345 is a wasteful number, since it uses less digits than its factorization.

505142202345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48254 (or 48243 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 505142202345 in words is "five hundred five billion, one hundred forty-two million, two hundred two thousand, three hundred forty-five".