993816609816576 has 1664 divisors, whose sum is σ = 3506754845583360. Its totient is φ = 243215408037888.

The previous prime is 993816609816533. The next prime is 993816609816593. The reversal of 993816609816576 is 675618906618399.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11166478761940 + ... + 11166478762028.

Almost surely, 2^{993816609816576} is an apocalyptic number.

993816609816576 is a gapful number since it is divisible by the number (96) 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 993816609816576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753377422791680).

993816609816576 is an abundant number, since it is smaller than the sum of its proper divisors (2512938235766784).

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

993816609816576 is an frugal number, since it uses more digits than its factorization.

993816609816576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 6348948480, while the sum is 84.

The spelling of 993816609816576 in words is "nine hundred ninety-three trillion, eight hundred sixteen billion, six hundred nine million, eight hundred sixteen thousand, five hundred seventy-six".