541685586145 has 32 divisors (see below), whose sum is σ = 713354189184. Its totient is φ = 391600396800.

The previous prime is 541685586137. The next prime is 541685586151.

541685586145 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 541685586145 - 2³ = 541685586137 is a prime.

It is a super-2 number, since 2×541685586145² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 541685586145.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24607714 + ... + 24629716.

It is an arithmetic number, because the mean of its divisors is an integer number (22292318412).

Almost surely, 2^541685586145 is an apocalyptic number.

541685586145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541685586145 is a deficient number, since it is larger than the sum of its proper divisors (171668603039).

541685586145 is a wasteful number, since it uses less digits than its factorization.

541685586145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24673.

The product of its digits is 23040000, while the sum is 58.

The spelling of 541685586145 in words is "five hundred forty-one billion, six hundred eighty-five million, five hundred eighty-six thousand, one hundred forty-five".