541411165968 has 160 divisors (see below), whose sum is σ = 1424713812480. Its totient is φ = 177139522560.

The previous prime is 541411165963. The next prime is 541411165987. The reversal of 541411165968 is 869561114145.

It is a self number, because there is not a number n which added to its sum of digits gives 541411165968.

It is not an unprimeable number, because it can be changed into a prime (541411165963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 630280323 + ... + 630281181.

It is an arithmetic number, because the mean of its divisors is an integer number (8904461328).

Almost surely, 2^541411165968 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 541411165968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712356906240).

541411165968 is an abundant number, since it is smaller than the sum of its proper divisors (883302646512).

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

541411165968 is a wasteful number, since it uses less digits than its factorization.

541411165968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1791 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 51.

The spelling of 541411165968 in words is "five hundred forty-one billion, four hundred eleven million, one hundred sixty-five thousand, nine hundred sixty-eight".