30432442468064 has 192 divisors, whose sum is σ = 78206511108096. Its totient is φ = 11312340885504.

The previous prime is 30432442468039. The next prime is 30432442468091. The reversal of 30432442468064 is 46086424423403.

It is a super-2 number, since 2×30432442468064² (a number of 28 digits) contains 22 as substring.

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, 29542547 + ... + 30555309.

It is an arithmetic number, because the mean of its divisors is an integer number (407325578688).

Almost surely, 2^{30432442468064} is an apocalyptic number.

30432442468064 is a gapful number since it is divisible by the number (34) 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 30432442468064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39103255554048).

30432442468064 is an abundant number, since it is smaller than the sum of its proper divisors (47774068640032).

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

30432442468064 is a wasteful number, since it uses less digits than its factorization.

30432442468064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013417 (or 1013409 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 50.

The spelling of 30432442468064 in words is "thirty trillion, four hundred thirty-two billion, four hundred forty-two million, four hundred sixty-eight thousand, sixty-four".