9352401344832 has 1344 divisors, whose sum is σ = 33627681792000. Its totient is φ = 2284599582720.

The previous prime is 9352401344831. The next prime is 9352401344887. The reversal of 9352401344832 is 2384431042539.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9352401344831) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9938789482 + ... + 9938790422.

Almost surely, 2^{9352401344832} 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 9352401344832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16813840896000).

9352401344832 is an abundant number, since it is smaller than the sum of its proper divisors (24275280447168).

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

9352401344832 is a wasteful number, since it uses less digits than its factorization.

9352401344832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 9352401344832 in words is "nine trillion, three hundred fifty-two billion, four hundred one million, three hundred forty-four thousand, eight hundred thirty-two".