541166161601344 has 56 divisors (see below), whose sum is σ = 1102936895775848. Its totient is φ = 263261287434240.

The previous prime is 541166161601327. The next prime is 541166161601389. The reversal of 541166161601344 is 443106161661145.

It can be written as a sum of positive squares in 4 ways, for example, as 315225821160000 + 225940340441344 = 17754600^2 + 15031312^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67862074 + ... + 75416134.

It is an arithmetic number, because the mean of its divisors is an integer number (19695301710283).

Almost surely, 2^{541166161601344} is an apocalyptic number.

It is an amenable number.

541166161601344 is an abundant number, since it is smaller than the sum of its proper divisors (561770734174504).

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

541166161601344 is a wasteful number, since it uses less digits than its factorization.

541166161601344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584363 (or 7584353 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 541166161601344 in words is "five hundred forty-one trillion, one hundred sixty-six billion, one hundred sixty-one million, six hundred one thousand, three hundred forty-four".