9152009145216 has 192 divisors, whose sum is σ = 30100015420800. Its totient is φ = 2614695552000.

The previous prime is 9152009145199. The next prime is 9152009145259. The reversal of 9152009145216 is 6125419002519.

9152009145216 is a `hidden beast` number, since 9 + 15 + 20 + 0 + 91 + 4 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193665591 + ... + 193712841.

It is an arithmetic number, because the mean of its divisors is an integer number (156770913650).

Almost surely, 2^{9152009145216} is an apocalyptic number.

9152009145216 is a gapful number since it is divisible by the number (96) 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 9152009145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15050007710400).

9152009145216 is an abundant number, since it is smaller than the sum of its proper divisors (20948006275584).

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

9152009145216 is a wasteful number, since it uses less digits than its factorization.

9152009145216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71297 (or 71282 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 9152009145216 in words is "nine trillion, one hundred fifty-two billion, nine million, one hundred forty-five thousand, two hundred sixteen".