541633642251152 has 160 divisors (see below), whose sum is σ = 1199865708679680. Its totient is φ = 234674306048000.

The previous prime is 541633642251127. The next prime is 541633642251217. The reversal of 541633642251152 is 251152246336145.

It is a self number, because there is not a number n which added to its sum of digits gives 541633642251152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88442252 + ... + 94367892.

It is an arithmetic number, because the mean of its divisors is an integer number (7499160679248).

Almost surely, 2^{541633642251152} 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 541633642251152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599932854339840).

541633642251152 is an abundant number, since it is smaller than the sum of its proper divisors (658232066428528).

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

541633642251152 is a wasteful number, since it uses less digits than its factorization.

541633642251152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925993 (or 5925987 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 50.

Adding to 541633642251152 its reverse (251152246336145), we get a palindrome (792785888587297).

The spelling of 541633642251152 in words is "five hundred forty-one trillion, six hundred thirty-three billion, six hundred forty-two million, two hundred fifty-one thousand, one hundred fifty-two".