9097767181152 has 288 divisors, whose sum is σ = 28224867041280. Its totient is φ = 2762872519680.

The previous prime is 9097767181117. The next prime is 9097767181163. The reversal of 9097767181152 is 2511817677909.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9097767181152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1428890673 + ... + 1428897039.

It is an arithmetic number, because the mean of its divisors is an integer number (98003010560).

Almost surely, 2^{9097767181152} 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 9097767181152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112433520640).

9097767181152 is an abundant number, since it is smaller than the sum of its proper divisors (19127099860128).

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

9097767181152 is a wasteful number, since it uses less digits than its factorization.

9097767181152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11306 (or 11295 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 63.

The spelling of 9097767181152 in words is "nine trillion, ninety-seven billion, seven hundred sixty-seven million, one hundred eighty-one thousand, one hundred fifty-two".