30598800150144 has 128 divisors (see below), whose sum is σ = 83406806784000. Its totient is φ = 9933338132480.

The previous prime is 30598800150133. The next prime is 30598800150209. The reversal of 30598800150144 is 44105100889503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 30598800150093 and 30598800150102.

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, 7250497 + ... + 10666175.

It is an arithmetic number, because the mean of its divisors is an integer number (651615678000).

Almost surely, 2^{30598800150144} 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 30598800150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41703403392000).

30598800150144 is an abundant number, since it is smaller than the sum of its proper divisors (52808006633856).

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

30598800150144 is a wasteful number, since it uses less digits than its factorization.

30598800150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416306 (or 3416294 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 30598800150144 in words is "thirty trillion, five hundred ninety-eight billion, eight hundred million, one hundred fifty thousand, one hundred forty-four".