505352343216 has 240 divisors, whose sum is σ = 1539967935744. Its totient is φ = 139838160384.

The previous prime is 505352343179. The next prime is 505352343233. The reversal of 505352343216 is 612343253505.

It is a super-2 number, since 2×505352343216² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111137455 + ... + 111142001.

Almost surely, 2^505352343216 is an apocalyptic number.

505352343216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505352343216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769983967872).

505352343216 is an abundant number, since it is smaller than the sum of its proper divisors (1034615592528).

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

505352343216 is a wasteful number, since it uses less digits than its factorization.

505352343216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4776 (or 4691 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 39.

The spelling of 505352343216 in words is "five hundred five billion, three hundred fifty-two million, three hundred forty-three thousand, two hundred sixteen".