993051532368 has 160 divisors (see below), whose sum is σ = 3258111467520. Its totient is φ = 283687021440.

The previous prime is 993051532351. The next prime is 993051532387. The reversal of 993051532368 is 863235150399.

993051532368 is a `hidden beast` number, since 9 + 9 + 30 + 515 + 32 + 3 + 68 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24507421 + ... + 24547907.

It is an arithmetic number, because the mean of its divisors is an integer number (20363196672).

Almost surely, 2^993051532368 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 993051532368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629055733760).

993051532368 is an abundant number, since it is smaller than the sum of its proper divisors (2265059935152).

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

993051532368 is a wasteful number, since it uses less digits than its factorization.

993051532368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48622 (or 48610 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 993051532368 in words is "nine hundred ninety-three billion, fifty-one million, five hundred thirty-two thousand, three hundred sixty-eight".