1993113930906 has 448 divisors, whose sum is σ = 5314225459200. Its totient is φ = 548730547200.

The previous prime is 1993113930869. The next prime is 1993113930911. The reversal of 1993113930906 is 6090393113991.

1993113930906 is a `hidden beast` number, since 19 + 9 + 311 + 3 + 9 + 309 + 0 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10015647795 + ... + 10015647993.

It is an arithmetic number, because the mean of its divisors is an integer number (11862110400).

Almost surely, 2^{1993113930906} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1993113930906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657112729600).

1993113930906 is an abundant number, since it is smaller than the sum of its proper divisors (3321111528294).

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

1993113930906 is a wasteful number, since it uses less digits than its factorization.

1993113930906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1062882, while the sum is 54.

The spelling of 1993113930906 in words is "one trillion, nine hundred ninety-three billion, one hundred thirteen million, nine hundred thirty thousand, nine hundred six".