541230336516888 has 512 divisors, whose sum is σ = 1574924746752000. Its totient is φ = 172025619816960.

The previous prime is 541230336516871. The next prime is 541230336516917. The reversal of 541230336516888 is 888615633032145.

541230336516888 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 3 + 0 + 3 + 36 + 516 + 8 + 88 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77774150353 + ... + 77774157311.

It is an arithmetic number, because the mean of its divisors is an integer number (3076024896000).

Almost surely, 2^{541230336516888} 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 541230336516888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787462373376000).

541230336516888 is an abundant number, since it is smaller than the sum of its proper divisors (1033694410235112).

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

541230336516888 is a wasteful number, since it uses less digits than its factorization.

541230336516888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772 (or 7762 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 541230336516888 in words is "five hundred forty-one trillion, two hundred thirty billion, three hundred thirty-six million, five hundred sixteen thousand, eight hundred eighty-eight".