541105411968 has 320 divisors, whose sum is σ = 1759213375920. Its totient is φ = 163738091520.

The previous prime is 541105411963. The next prime is 541105412041. The reversal of 541105411968 is 869114501145.

541105411968 is a `hidden beast` number, since 5 + 4 + 1 + 10 + 541 + 1 + 96 + 8 = 666.

It is a super-2 number, since 2×541105411968² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541105411963) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 90893280 + ... + 90899232.

Almost surely, 2^541105411968 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 541105411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879606687960).

541105411968 is an abundant number, since it is smaller than the sum of its proper divisors (1218107963952).

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

541105411968 is a wasteful number, since it uses less digits than its factorization.

541105411968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6787 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 541105411968 in words is "five hundred forty-one billion, one hundred five million, four hundred eleven thousand, nine hundred sixty-eight".