993856846632000 has 448 divisors, whose sum is σ = 3541788625449984. Its totient is φ = 244113266073600.

The previous prime is 993856846631953. The next prime is 993856846632047. The reversal of 993856846632000 is 236648658399.

It is an interprime number because it is at equal distance from previous prime (993856846631953) and next prime (993856846632047).

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, 141016002 + ... + 147895998.

It is an arithmetic number, because the mean of its divisors is an integer number (7905778181808).

Almost surely, 2^{993856846632000} 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 993856846632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770894312724992).

993856846632000 is an abundant number, since it is smaller than the sum of its proper divisors (2547931778817984).

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

993856846632000 is a wasteful number, since it uses less digits than its factorization.

993856846632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6880503 (or 6880483 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 69.

The spelling of 993856846632000 in words is "nine hundred ninety-three trillion, eight hundred fifty-six billion, eight hundred forty-six million, six hundred thirty-two thousand".