993671278002 has 112 divisors (see below), whose sum is σ = 2446096986648. Its totient is φ = 300732445440.

The previous prime is 993671277913. The next prime is 993671278003. The reversal of 993671278002 is 200872176399.

993671278002 is a `hidden beast` number, since 9 + 9 + 367 + 1 + 278 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 580840612641 + 412830665361 = 762129^2 + 642519^2 .

It is a super-2 number, since 2×993671278002² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 993671278002.

It is not an unprimeable number, because it can be changed into a prime (993671278003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 726478 + ... + 1585910.

Almost surely, 2^993671278002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993671278002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223048493324).

993671278002 is an abundant number, since it is smaller than the sum of its proper divisors (1452425708646).

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

993671278002 is a wasteful number, since it uses less digits than its factorization.

993671278002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859527 (or 859512 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 993671278002 in words is "nine hundred ninety-three billion, six hundred seventy-one million, two hundred seventy-eight thousand, two".