506110113444 has 96 divisors (see below), whose sum is σ = 1293736227840. Its totient is φ = 153037404288.

The previous prime is 506110113437. The next prime is 506110113473. The reversal of 506110113444 is 444311011605.

It is a super-2 number, since 2×506110113444² (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 31 ways as a sum of consecutive naturals, for example, 36873567 + ... + 36887289.

It is an arithmetic number, because the mean of its divisors is an integer number (13476419040).

Almost surely, 2^506110113444 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 506110113444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646868113920).

506110113444 is an abundant number, since it is smaller than the sum of its proper divisors (787626114396).

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

506110113444 is a wasteful number, since it uses less digits than its factorization.

506110113444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17809 (or 17807 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 506110113444 in words is "five hundred six billion, one hundred ten million, one hundred thirteen thousand, four hundred forty-four".