145986689541 has 32 divisors (see below), whose sum is σ = 245751091200. Its totient is φ = 74877266880.

The previous prime is 145986689507. The next prime is 145986689549.

It is a happy number.

145986689541 is nontrivially palindromic in base 10.

145986689541 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145986689541 - 2⁶ = 145986689477 is a prime.

It is a super-3 number, since 3×145986689541³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145986689549) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3981606 + ... + 4018103.

It is an arithmetic number, because the mean of its divisors is an integer number (7679721600).

Almost surely, 2^145986689541 is an apocalyptic number.

145986689541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

145986689541 is a deficient number, since it is larger than the sum of its proper divisors (99764401659).

145986689541 is a wasteful number, since it uses less digits than its factorization.

145986689541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7999809.

The product of its digits is 74649600, while the sum is 66.

The spelling of 145986689541 in words is "one hundred forty-five billion, nine hundred eighty-six million, six hundred eighty-nine thousand, five hundred forty-one".