1816182160920 has 512 divisors, whose sum is σ = 6770801664000. Its totient is φ = 430857584640.

The previous prime is 1816182160909. The next prime is 1816182160921. The reversal of 1816182160920 is 290612816181.

It is a happy number.

1816182160920 is a `hidden beast` number, since 1 + 8 + 1 + 6 + 18 + 2 + 1 + 609 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1816182160921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24436776 + ... + 24510984.

It is an arithmetic number, because the mean of its divisors is an integer number (13224222000).

Almost surely, 2^{1816182160920} is an apocalyptic number.

1816182160920 is a gapful number since it is divisible by the number (10) 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 1816182160920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385400832000).

1816182160920 is an abundant number, since it is smaller than the sum of its proper divisors (4954619503080).

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

1816182160920 is a wasteful number, since it uses less digits than its factorization.

1816182160920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74320 (or 74310 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 1816182160920 in words is "one trillion, eight hundred sixteen billion, one hundred eighty-two million, one hundred sixty thousand, nine hundred twenty".