9114075661320 has 384 divisors, whose sum is σ = 35040070540800. Its totient is φ = 2010206564352.

The previous prime is 9114075661279. The next prime is 9114075661403. The reversal of 9114075661320 is 231665704119.

9114075661320 is a `hidden beast` number, since 9 + 1 + 1 + 4 + 0 + 7 + 5 + 6 + 613 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 128073669 + ... + 128144811.

It is an arithmetic number, because the mean of its divisors is an integer number (91250183700).

Almost surely, 2^{9114075661320} is an apocalyptic number.

9114075661320 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 9114075661320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17520035270400).

9114075661320 is an abundant number, since it is smaller than the sum of its proper divisors (25925994879480).

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

9114075661320 is a wasteful number, since it uses less digits than its factorization.

9114075661320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72949 (or 72942 counting only the distinct ones).

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

The spelling of 9114075661320 in words is "nine trillion, one hundred fourteen billion, seventy-five million, six hundred sixty-one thousand, three hundred twenty".