30145215400032 has 384 divisors, whose sum is σ = 83485406592000. Its totient is φ = 9511009320960.

The previous prime is 30145215400031. The next prime is 30145215400049. The reversal of 30145215400032 is 23000451254103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30145215400031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48699863019 + ... + 48699863637.

It is an arithmetic number, because the mean of its divisors is an integer number (217409913000).

Almost surely, 2^{30145215400032} is an apocalyptic number.

30145215400032 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 30145215400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41742703296000).

30145215400032 is an abundant number, since it is smaller than the sum of its proper divisors (53340191191968).

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

30145215400032 is a wasteful number, since it uses less digits than its factorization.

30145215400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 30145215400032 its reverse (23000451254103), we get a palindrome (53145666654135).

The spelling of 30145215400032 in words is "thirty trillion, one hundred forty-five billion, two hundred fifteen million, four hundred thousand, thirty-two".