146305503641 has 16 divisors (see below), whose sum is σ = 162990489600. Its totient is φ = 130203469200.

The previous prime is 146305503623. The next prime is 146305503667.

146305503641 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 146305503641 - 2³⁰ = 145231761817 is a prime.

It is a super-3 number, since 3×146305503641³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 146305503595 and 146305503604.

It is not an unprimeable number, because it can be changed into a prime (146305500641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316505 + ... + 626726.

It is an arithmetic number, because the mean of its divisors is an integer number (10186905600).

Almost surely, 2^146305503641 is an apocalyptic number.

146305503641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

146305503641 is a deficient number, since it is larger than the sum of its proper divisors (16684985959).

146305503641 is a wasteful number, since it uses less digits than its factorization.

146305503641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943540.

The product of its (nonzero) digits is 129600, while the sum is 38.

It can be divided in two parts, 146305 and 503641, that added together give a palindrome (649946).

The spelling of 146305503641 in words is "one hundred forty-six billion, three hundred five million, five hundred three thousand, six hundred forty-one".