9147345500160 has 3072 divisors, whose sum is σ = 40849256448000. Its totient is φ = 1920298254336.

The previous prime is 9147345500119. The next prime is 9147345500201. The reversal of 9147345500160 is 610055437419.

9147345500160 is a `hidden beast` number, since 9 + 1 + 4 + 7 + 34 + 550 + 0 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (9147345500119) and next prime (9147345500201).

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 155039754211 + ... + 155039754269.

It is an arithmetic number, because the mean of its divisors is an integer number (13297284000).

Almost surely, 2^{9147345500160} is an apocalyptic number.

9147345500160 is a gapful number since it is divisible by the number (90) 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 9147345500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20424628224000).

9147345500160 is an abundant number, since it is smaller than the sum of its proper divisors (31701910947840).

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

9147345500160 is an equidigital number, since it uses as much as digits as its factorization.

9147345500160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 9147345500160 in words is "nine trillion, one hundred forty-seven billion, three hundred forty-five million, five hundred thousand, one hundred sixty".