463144741125 has 64 divisors (see below), whose sum is σ = 877287849984. Its totient is φ = 214791720000.

The previous prime is 463144741123. The next prime is 463144741177. The reversal of 463144741125 is 521147441364.

It is a happy number.

It is not a de Polignac number, because 463144741125 - 2¹ = 463144741123 is a prime.

It is a super-3 number, since 3×463144741125³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463144741121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2345941 + ... + 2535690.

It is an arithmetic number, because the mean of its divisors is an integer number (13707622656).

Almost surely, 2^463144741125 is an apocalyptic number.

It is an amenable number.

463144741125 is a deficient number, since it is larger than the sum of its proper divisors (414143108859).

463144741125 is a wasteful number, since it uses less digits than its factorization.

463144741125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4881683 (or 4881673 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The spelling of 463144741125 in words is "four hundred sixty-three billion, one hundred forty-four million, seven hundred forty-one thousand, one hundred twenty-five".