9365001338880 has 1254 divisors, whose sum is σ = 37057262615898. Its totient is φ = 2270303354880.

The previous prime is 9365001338867. The next prime is 9365001338933. The reversal of 9365001338880 is 888331005639.

It is a happy number.

9365001338880 is a `hidden beast` number, since 93 + 6 + 500 + 13 + 38 + 8 + 8 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7492001071104 + 1873000267776 = 2737152^2 + 1368576^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 851363758075 + ... + 851363758085.

Almost surely, 2^{9365001338880} is an apocalyptic number.

9365001338880 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 9365001338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18528631307949).

9365001338880 is an abundant number, since it is smaller than the sum of its proper divisors (27692261277018).

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

9365001338880 is an frugal number, since it uses more digits than its factorization.

9365001338880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

9365001338880 divided by its product of nonzero digits (3732480) gives a square (2509056 = 1584²).

The spelling of 9365001338880 in words is "nine trillion, three hundred sixty-five billion, one million, three hundred thirty-eight thousand, eight hundred eighty".