9390825605952 has 336 divisors, whose sum is σ = 31970829176832. Its totient is φ = 2677283642880.

The previous prime is 9390825605947. The next prime is 9390825605957. The reversal of 9390825605952 is 2595065280939.

9390825605952 is a `hidden beast` number, since 9 + 39 + 0 + 8 + 2 + 5 + 6 + 0 + 595 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (9390825605947) and next prime (9390825605957).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×9390825605952² (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9390825605952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9390825605957) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 50310877 + ... + 50497187.

It is an arithmetic number, because the mean of its divisors is an integer number (95151277312).

Almost surely, 2^{9390825605952} 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 9390825605952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15985414588416).

9390825605952 is an abundant number, since it is smaller than the sum of its proper divisors (22580003570880).

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

9390825605952 is a wasteful number, since it uses less digits than its factorization.

9390825605952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186808 (or 186786 counting only the distinct ones).

The product of its (nonzero) digits is 52488000, while the sum is 63.

The spelling of 9390825605952 in words is "nine trillion, three hundred ninety billion, eight hundred twenty-five million, six hundred five thousand, nine hundred fifty-two".