1993049111844 has 768 divisors, whose sum is σ = 6615335731200. Its totient is φ = 506222825472.

The previous prime is 1993049111843. The next prime is 1993049111903. The reversal of 1993049111844 is 4481119403991.

It is a happy number.

1993049111844 is a `hidden beast` number, since 1 + 9 + 9 + 30 + 491 + 118 + 4 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1993049111843) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1823466162 + ... + 1823467254.

It is an arithmetic number, because the mean of its divisors is an integer number (8613718400).

Almost surely, 2^{1993049111844} is an apocalyptic number.

1993049111844 is a gapful number since it is divisible by the number (14) 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 1993049111844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307667865600).

1993049111844 is an abundant number, since it is smaller than the sum of its proper divisors (4622286619356).

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

1993049111844 is a wasteful number, since it uses less digits than its factorization.

1993049111844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1993049111844 in words is "one trillion, nine hundred ninety-three billion, forty-nine million, one hundred eleven thousand, eight hundred forty-four".