30545034144 has 96 divisors (see below), whose sum is σ = 85660807680. Its totient is φ = 9501795072.

The previous prime is 30545034127. The next prime is 30545034193. The reversal of 30545034144 is 44143054503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×30545034144² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2764 + ... + 247179.

It is an arithmetic number, because the mean of its divisors is an integer number (892300080).

Almost surely, 2^30545034144 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 30545034144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42830403840).

30545034144 is an abundant number, since it is smaller than the sum of its proper divisors (55115773536).

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

30545034144 is a wasteful number, since it uses less digits than its factorization.

30545034144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250042 (or 250034 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 30545034144 its reverse (44143054503), we get a palindrome (74688088647).

The spelling of 30545034144 in words is "thirty billion, five hundred forty-five million, thirty-four thousand, one hundred forty-four".