1993318848 has 224 divisors, whose sum is σ = 6117457920. Its totient is φ = 635765760.

The previous prime is 1993318843. The next prime is 1993318907. The reversal of 1993318848 is 8488133991.

1993318848 is a `hidden beast` number, since 199 + 331 + 88 + 48 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 1993318794 and 1993318803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993318841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6802990 + ... + 6803282.

It is an arithmetic number, because the mean of its divisors is an integer number (27310080).

Almost surely, 2^1993318848 is an apocalyptic number.

1993318848 is a gapful number since it is divisible by the number (18) 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 1993318848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058728960).

1993318848 is an abundant number, since it is smaller than the sum of its proper divisors (4124139072).

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

1993318848 is a wasteful number, since it uses less digits than its factorization.

1993318848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 456 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 1993318848 is about 44646.5995121689. The cubic root of 1993318848 is about 1258.5165307572.

It can be divided in two parts, 19933 and 18848, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 1993318848 in words is "one billion, nine hundred ninety-three million, three hundred eighteen thousand, eight hundred forty-eight".