30144252864 has 224 divisors, whose sum is σ = 89164094976. Its totient is φ = 8910254080.

The previous prime is 30144252851. The next prime is 30144252881. The reversal of 30144252864 is 46825244103.

It is a congruent number.

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, 22050709 + ... + 22052075.

Almost surely, 2^30144252864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30144252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44582047488).

30144252864 is an abundant number, since it is smaller than the sum of its proper divisors (59019842112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30144252864 is a wasteful number, since it uses less digits than its factorization.

30144252864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

Adding to 30144252864 its reverse (46825244103), we get a palindrome (76969496967).

The spelling of 30144252864 in words is "thirty billion, one hundred forty-four million, two hundred fifty-two thousand, eight hundred sixty-four".