505351403456 has 112 divisors (see below), whose sum is σ = 1071823104000. Its totient is φ = 235878558720.

The previous prime is 505351403449. The next prime is 505351403483. The reversal of 505351403456 is 654304153505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75886655 + ... + 75893313.

Almost surely, 2^505351403456 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 505351403456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535911552000).

505351403456 is an abundant number, since it is smaller than the sum of its proper divisors (566471700544).

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

505351403456 is a wasteful number, since it uses less digits than its factorization.

505351403456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8050 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 41.

The spelling of 505351403456 in words is "five hundred five billion, three hundred fifty-one million, four hundred three thousand, four hundred fifty-six".