541813171191552 has 1296 divisors, whose sum is σ = 1781017560661248. Its totient is φ = 164186838466560.

The previous prime is 541813171191463. The next prime is 541813171191623. The reversal of 541813171191552 is 255191171318145.

541813171191552 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 1 + 3 + 1 + 71 + 19 + 1 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 198393690027 + ... + 198393692757.

Almost surely, 2^{541813171191552} is an apocalyptic number.

541813171191552 is a gapful number since it is divisible by the number (52) 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 541813171191552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890508780330624).

541813171191552 is an abundant number, since it is smaller than the sum of its proper divisors (1239204389469696).

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

541813171191552 is a wasteful number, since it uses less digits than its factorization.

541813171191552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3029 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 54.

The spelling of 541813171191552 in words is "five hundred forty-one trillion, eight hundred thirteen billion, one hundred seventy-one million, one hundred ninety-one thousand, five hundred fifty-two".