9008357163120 has 240 divisors, whose sum is σ = 34576876938240. Its totient is φ = 2058937284096.

The previous prime is 9008357163079. The next prime is 9008357163121. The reversal of 9008357163120 is 213617538009.

9008357163120 is a `hidden beast` number, since 9 + 0 + 0 + 8 + 3 + 5 + 7 + 1 + 631 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9008357163121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116319771 + ... + 116397189.

It is an arithmetic number, because the mean of its divisors is an integer number (144070320576).

Almost surely, 2^{9008357163120} is an apocalyptic number.

9008357163120 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9008357163120 is an abundant number, since it is smaller than the sum of its proper divisors (25568519775120).

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

9008357163120 is a wasteful number, since it uses less digits than its factorization.

9008357163120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100532 (or 100523 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 9008357163120 in words is "nine trillion, eight billion, three hundred fifty-seven million, one hundred sixty-three thousand, one hundred twenty".