9289312445952 has 1920 divisors, whose sum is σ = 36569051430912. Its totient is φ = 2198480486400.

The previous prime is 9289312445911. The next prime is 9289312446097. The reversal of 9289312445952 is 2595442139829.

9289312445952 is a `hidden beast` number, since 9 + 2 + 8 + 9 + 3 + 124 + 459 + 52 = 666.

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 9289312445952.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 18467817733 + ... + 18467818235.

Almost surely, 2^{9289312445952} is an apocalyptic number.

9289312445952 is a gapful number since it is divisible by the number (92) 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 9289312445952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18284525715456).

9289312445952 is an abundant number, since it is smaller than the sum of its proper divisors (27279738984960).

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

9289312445952 is a wasteful number, since it uses less digits than its factorization.

9289312445952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 653 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 9289312445952 in words is "nine trillion, two hundred eighty-nine billion, three hundred twelve million, four hundred forty-five thousand, nine hundred fifty-two".