30144585919 has 24 divisors (see below), whose sum is σ = 35543315808. Its totient is φ = 25488368640.

The previous prime is 30144585901. The next prime is 30144585971. The reversal of 30144585919 is 91958544103.

It is a happy number.

It is not a de Polignac number, because 30144585919 - 2⁹ = 30144585407 is a prime.

It is a super-2 number, since 2×30144585919² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144585719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1467987 + ... + 1488379.

It is an arithmetic number, because the mean of its divisors is an integer number (1480971492).

Almost surely, 2^30144585919 is an apocalyptic number.

30144585919 is a deficient number, since it is larger than the sum of its proper divisors (5398729889).

30144585919 is a wasteful number, since it uses less digits than its factorization.

30144585919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20815 (or 20808 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

The spelling of 30144585919 in words is "thirty billion, one hundred forty-four million, five hundred eighty-five thousand, nine hundred nineteen".