541438164736 has 216 divisors, whose sum is σ = 1363655303136. Its totient is φ = 213065072640.

The previous prime is 541438164727. The next prime is 541438164763. The reversal of 541438164736 is 637461834145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8712205 + ... + 8774131.

It is an arithmetic number, because the mean of its divisors is an integer number (6313218996).

Almost surely, 2^541438164736 is an apocalyptic number.

541438164736 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 541438164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681827651568).

541438164736 is an abundant number, since it is smaller than the sum of its proper divisors (822217138400).

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

541438164736 is a wasteful number, since it uses less digits than its factorization.

541438164736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62015 (or 61994 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 52.

The spelling of 541438164736 in words is "five hundred forty-one billion, four hundred thirty-eight million, one hundred sixty-four thousand, seven hundred thirty-six".