993381297684480 has 3168 divisors, whose sum is σ = 4049610955004160. Its totient is φ = 232870442434560.

The previous prime is 993381297684449. The next prime is 993381297684491. The reversal of 993381297684480 is 84486792183399.

993381297684480 is a `hidden beast` number, since 9 + 9 + 3 + 3 + 8 + 129 + 7 + 6 + 8 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 993381297684480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13991285882845 + ... + 13991285882915.

Almost surely, 2^{993381297684480} is an apocalyptic number.

993381297684480 is a gapful number since it is divisible by the number (90) 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 993381297684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024805477502080).

993381297684480 is an abundant number, since it is smaller than the sum of its proper divisors (3056229657319680).

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

993381297684480 is an frugal number, since it uses more digits than its factorization.

993381297684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

The spelling of 993381297684480 in words is "nine hundred ninety-three trillion, three hundred eighty-one billion, two hundred ninety-seven million, six hundred eighty-four thousand, four hundred eighty".