30131346432 has 264 divisors, whose sum is σ = 89246055808. Its totient is φ = 9030574080.

The previous prime is 30131346361. The next prime is 30131346451. The reversal of 30131346432 is 23464313103.

It is a tau number, because it is divible by the number of its divisors (264).

It is a self number, because there is not a number n which added to its sum of digits gives 30131346432.

It is a congruent number.

It is an unprimeable number.

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, 38285943 + ... + 38286729.

Almost surely, 2^30131346432 is an apocalyptic number.

30131346432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30131346432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44623027904).

30131346432 is an abundant number, since it is smaller than the sum of its proper divisors (59114709376).

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

30131346432 is a wasteful number, since it uses less digits than its factorization.

30131346432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 30131346432 its reverse (23464313103), we get a palindrome (53595659535).

The spelling of 30131346432 in words is "thirty billion, one hundred thirty-one million, three hundred forty-six thousand, four hundred thirty-two".