506112121416 has 128 divisors (see below), whose sum is σ = 1389200855040. Its totient is φ = 152380166400.

The previous prime is 506112121381. The next prime is 506112121429. The reversal of 506112121416 is 614121211605.

It is a super-3 number, since 3×506112121416³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 97872511 + ... + 97877681.

It is an arithmetic number, because the mean of its divisors is an integer number (10853131680).

Almost surely, 2^506112121416 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 506112121416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694600427520).

506112121416 is an abundant number, since it is smaller than the sum of its proper divisors (883088733624).

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

506112121416 is a wasteful number, since it uses less digits than its factorization.

506112121416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7507 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The spelling of 506112121416 in words is "five hundred six billion, one hundred twelve million, one hundred twenty-one thousand, four hundred sixteen".