30017166144 has 112 divisors (see below), whose sum is σ = 90823913856. Its totient is φ = 8570880000.

The previous prime is 30017166119. The next prime is 30017166149. The reversal of 30017166144 is 44166171003.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30017166149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2414344 + ... + 2426744.

Almost surely, 2^30017166144 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 30017166144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45411956928).

30017166144 is an abundant number, since it is smaller than the sum of its proper divisors (60806747712).

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

30017166144 is a wasteful number, since it uses less digits than its factorization.

30017166144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14224 (or 14214 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 30017166144 in words is "thirty billion, seventeen million, one hundred sixty-six thousand, one hundred forty-four".