993497338512 has 360 divisors, whose sum is σ = 3282358165632. Its totient is φ = 279671616000.

The previous prime is 993497338501. The next prime is 993497338541. The reversal of 993497338512 is 215833794399.

993497338512 is a `hidden beast` number, since 9 + 9 + 3 + 49 + 73 + 3 + 8 + 512 = 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 993497338512.

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 71 ways as a sum of consecutive naturals, for example, 150367113 + ... + 150373719.

Almost surely, 2^993497338512 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 993497338512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641179082816).

993497338512 is an abundant number, since it is smaller than the sum of its proper divisors (2288860827120).

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

993497338512 is a wasteful number, since it uses less digits than its factorization.

993497338512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947 (or 6931 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The spelling of 993497338512 in words is "nine hundred ninety-three billion, four hundred ninety-seven million, three hundred thirty-eight thousand, five hundred twelve".