1993177116 has 288 divisors, whose sum is σ = 6261964800. Its totient is φ = 533433600.

The previous prime is 1993177111. The next prime is 1993177133. The reversal of 1993177116 is 6117713991.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993177111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15694245 + ... + 15694371.

Almost surely, 2^1993177116 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 1993177116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130982400).

1993177116 is an abundant number, since it is smaller than the sum of its proper divisors (4268787684).

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

1993177116 is a wasteful number, since it uses less digits than its factorization.

1993177116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

The product of its digits is 71442, while the sum is 45.

The square root of 1993177116 is about 44645.0122186118. The cubic root of 1993177116 is about 1258.4867017290.

The spelling of 1993177116 in words is "one billion, nine hundred ninety-three million, one hundred seventy-seven thousand, one hundred sixteen".