993737834496 has 513 divisors, whose sum is σ = 3209888961643. Its totient is φ = 296028733440.

The previous prime is 993737834477. The next prime is 993737834501. The reversal of 993737834496 is 694438737399.

The square root of 993737834496 is 996864.

It is a perfect power (a square), and thus also a powerful number.

993737834496 is a `hidden beast` number, since 9 + 9 + 37 + 3 + 78 + 34 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 16843014115 + ... + 16843014173.

Almost surely, 2^993737834496 is an apocalyptic number.

993737834496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

993737834496 is the 996864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993737834496

993737834496 is an abundant number, since it is smaller than the sum of its proper divisors (2216151127147).

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

993737834496 is an frugal number, since it uses more digits than its factorization.

993737834496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 75 counting only the distinct ones).

The product of its digits is 740710656, while the sum is 72.

The spelling of 993737834496 in words is "nine hundred ninety-three billion, seven hundred thirty-seven million, eight hundred thirty-four thousand, four hundred ninety-six".