9385545536640 has 3072 divisors, whose sum is σ = 44391638753280. Its totient is φ = 1770887577600.

The previous prime is 9385545536611. The next prime is 9385545536651. The reversal of 9385545536640 is 466355455839.

It is a happy number.

9385545536640 is a `hidden beast` number, since 9 + 3 + 8 + 5 + 54 + 5 + 536 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16850171242 + ... + 16850171798.

It is an arithmetic number, because the mean of its divisors is an integer number (14450403240).

Almost surely, 2^{9385545536640} is an apocalyptic number.

9385545536640 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 9385545536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22195819376640).

9385545536640 is an abundant number, since it is smaller than the sum of its proper divisors (35006093216640).

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

9385545536640 is a wasteful number, since it uses less digits than its factorization.

9385545536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 233280000, while the sum is 63.

The spelling of 9385545536640 in words is "nine trillion, three hundred eighty-five billion, five hundred forty-five million, five hundred thirty-six thousand, six hundred forty".