9765382201344 has 448 divisors, whose sum is σ = 36072000276480. Its totient is φ = 2536458485760.

The previous prime is 9765382201321. The next prime is 9765382201403. The reversal of 9765382201344 is 4431022835679.

9765382201344 is a `hidden beast` number, since 9 + 7 + 65 + 38 + 2 + 201 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×9765382201344³ (a number of 40 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16744477 + ... + 17317859.

It is an arithmetic number, because the mean of its divisors is an integer number (80517857760).

It is a 2-persistent number, because it is pandigital, and so is 2⋅9765382201344 = 19530764402688, but 3⋅9765382201344 = 29296146604032 is not.

Almost surely, 2^{9765382201344} 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 9765382201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18036000138240).

9765382201344 is an abundant number, since it is smaller than the sum of its proper divisors (26306618075136).

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

9765382201344 is a wasteful number, since it uses less digits than its factorization.

9765382201344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573436 (or 573406 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 9765382201344 in words is "nine trillion, seven hundred sixty-five billion, three hundred eighty-two million, two hundred one thousand, three hundred forty-four".