541144360368 has 120 divisors (see below), whose sum is σ = 1537171927200. Its totient is φ = 177690534912.

The previous prime is 541144360357. The next prime is 541144360373. The reversal of 541144360368 is 863063441145.

541144360368 is a `hidden beast` number, since 541 + 1 + 4 + 43 + 6 + 0 + 3 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3369021 + ... + 3525987.

It is an arithmetic number, because the mean of its divisors is an integer number (12809766060).

Almost surely, 2^541144360368 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 541144360368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768585963600).

541144360368 is an abundant number, since it is smaller than the sum of its proper divisors (996027566832).

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

541144360368 is a wasteful number, since it uses less digits than its factorization.

541144360368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157339 (or 157330 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 541144360368 in words is "five hundred forty-one billion, one hundred forty-four million, three hundred sixty thousand, three hundred sixty-eight".