541739345271936 has 256 divisors, whose sum is σ = 1655152040294400. Its totient is φ = 153786895073280.

The previous prime is 541739345271919. The next prime is 541739345271937. The reversal of 541739345271936 is 639172543937145.

It is a super-2 number, since 2×541739345271936² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (541739345271937) by changing a digit.

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, 1472418045 + ... + 1472785923.

It is an arithmetic number, because the mean of its divisors is an integer number (6465437657400).

Almost surely, 2^{541739345271936} is an apocalyptic number.

541739345271936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541739345271936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827576020147200).

541739345271936 is an abundant number, since it is smaller than the sum of its proper divisors (1113412695022464).

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

541739345271936 is a wasteful number, since it uses less digits than its factorization.

541739345271936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371427 (or 371415 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 69.

The spelling of 541739345271936 in words is "five hundred forty-one trillion, seven hundred thirty-nine billion, three hundred forty-five million, two hundred seventy-one thousand, nine hundred thirty-six".