541048117104 has 400 divisors, whose sum is σ = 1740988899936. Its totient is φ = 160832563200.

The previous prime is 541048117031. The next prime is 541048117193. The reversal of 541048117104 is 401711840145.

It is a happy number.

541048117104 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 481 + 171 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 484375554 + ... + 484376670.

Almost surely, 2^541048117104 is an apocalyptic number.

541048117104 is a gapful number since it is divisible by the number (54) 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 541048117104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870494449968).

541048117104 is an abundant number, since it is smaller than the sum of its proper divisors (1199940782832).

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

541048117104 is a wasteful number, since it uses less digits than its factorization.

541048117104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

Adding to 541048117104 its reverse (401711840145), we get a palindrome (942759957249).

The spelling of 541048117104 in words is "five hundred forty-one billion, forty-eight million, one hundred seventeen thousand, one hundred four".