505023213948 has 96 divisors (see below), whose sum is σ = 1296751868160. Its totient is φ = 151702848000.

The previous prime is 505023213823. The next prime is 505023213971. The reversal of 505023213948 is 849312320505.

It is a congruent number.

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, 12107208 + ... + 12148848.

It is an arithmetic number, because the mean of its divisors is an integer number (13507831960).

Almost surely, 2^505023213948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505023213948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648375934080).

505023213948 is an abundant number, since it is smaller than the sum of its proper divisors (791728654212).

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

505023213948 is a wasteful number, since it uses less digits than its factorization.

505023213948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42459 (or 42457 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 505023213948 in words is "five hundred five billion, twenty-three million, two hundred thirteen thousand, nine hundred forty-eight".