30144031623664 has 160 divisors (see below), whose sum is σ = 70032792614400. Its totient is φ = 12298845081600.

The previous prime is 30144031623569. The next prime is 30144031623697. The reversal of 30144031623664 is 46632613044103.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 30144031623664.

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, 207058579 + ... + 207204109.

It is an arithmetic number, because the mean of its divisors is an integer number (437704953840).

Almost surely, 2^{30144031623664} 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 30144031623664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35016396307200).

30144031623664 is an abundant number, since it is smaller than the sum of its proper divisors (39888760990736).

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

30144031623664 is a wasteful number, since it uses less digits than its factorization.

30144031623664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146679 (or 146673 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 43.

Adding to 30144031623664 its reverse (46632613044103), we get a palindrome (76776644667767).

The spelling of 30144031623664 in words is "thirty trillion, one hundred forty-four billion, thirty-one million, six hundred twenty-three thousand, six hundred sixty-four".