10541331054198 has 192 divisors, whose sum is σ = 27511370385408. Its totient is φ = 2962980259200.

The previous prime is 10541331054181. The next prime is 10541331054203. The reversal of 10541331054198 is 89145013314501.

10541331054198 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 1 + 3 + 3 + 10 + 541 + 98 = 666.

It is a super-2 number, since 2×10541331054198² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53847811 + ... + 54043217.

It is an arithmetic number, because the mean of its divisors is an integer number (143288387424).

Almost surely, 2^{10541331054198} is an apocalyptic number.

10541331054198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10541331054198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13755685192704).

10541331054198 is an abundant number, since it is smaller than the sum of its proper divisors (16970039331210).

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

10541331054198 is a wasteful number, since it uses less digits than its factorization.

10541331054198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195689 (or 195677 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

Adding to 10541331054198 its reverse (89145013314501), we get a palindrome (99686344368699).

The spelling of 10541331054198 in words is "ten trillion, five hundred forty-one billion, three hundred thirty-one million, fifty-four thousand, one hundred ninety-eight".