1782162031104 has 1440 divisors, whose sum is σ = 6775085116800. Its totient is φ = 463520268288.

The previous prime is 1782162031057. The next prime is 1782162031109. The reversal of 1782162031104 is 4011302612871.

1782162031104 is a `hidden beast` number, since 1 + 7 + 8 + 21 + 620 + 3 + 1 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×1782162031104² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1782162031109) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8955587997 + ... + 8955588195.

It is an arithmetic number, because the mean of its divisors is an integer number (4704920220).

Almost surely, 2^{1782162031104} is an apocalyptic number.

1782162031104 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 1782162031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387542558400).

1782162031104 is an abundant number, since it is smaller than the sum of its proper divisors (4992923085696).

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

1782162031104 is a wasteful number, since it uses less digits than its factorization.

1782162031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 1782162031104 its reverse (4011302612871), we get a palindrome (5793464643975).

The spelling of 1782162031104 in words is "one trillion, seven hundred eighty-two billion, one hundred sixty-two million, thirty-one thousand, one hundred four".