993995403648 has 128 divisors (see below), whose sum is σ = 2849883590400. Its totient is φ = 305147381760.

The previous prime is 993995403641. The next prime is 993995403701. The reversal of 993995403648 is 846304599399.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993995403641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1964703 + ... + 2418273.

It is an arithmetic number, because the mean of its divisors is an integer number (22264715550).

Almost surely, 2^993995403648 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 993995403648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424941795200).

993995403648 is an abundant number, since it is smaller than the sum of its proper divisors (1855888186752).

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

993995403648 is a wasteful number, since it uses less digits than its factorization.

993995403648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454040 (or 454028 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 69.

The spelling of 993995403648 in words is "nine hundred ninety-three billion, nine hundred ninety-five million, four hundred three thousand, six hundred forty-eight".