541150254144 has 168 divisors, whose sum is σ = 1563510472160. Its totient is φ = 178943385600.

The previous prime is 541150254107. The next prime is 541150254149. The reversal of 541150254144 is 441452051145.

541150254144 is a `hidden beast` number, since 5 + 4 + 1 + 1 + 502 + 5 + 4 + 144 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 541150254099 and 541150254108.

It is not an unprimeable number, because it can be changed into a prime (541150254149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161007024 + ... + 161010384.

Almost surely, 2^541150254144 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 541150254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781755236080).

541150254144 is an abundant number, since it is smaller than the sum of its proper divisors (1022360218016).

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

541150254144 is a wasteful number, since it uses less digits than its factorization.

541150254144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 541150254144 in words is "five hundred forty-one billion, one hundred fifty million, two hundred fifty-four thousand, one hundred forty-four".