1819818182016 has 576 divisors, whose sum is σ = 5707419747120. Its totient is φ = 577059323904.

The previous prime is 1819818182003. The next prime is 1819818182033. The reversal of 1819818182016 is 6102818189181.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1909567396 + ... + 1909568348.

Almost surely, 2^{1819818182016} is an apocalyptic number.

1819818182016 is a gapful number since it is divisible by the number (16) 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 1819818182016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853709873560).

1819818182016 is an abundant number, since it is smaller than the sum of its proper divisors (3887601565104).

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

1819818182016 is an frugal number, since it uses more digits than its factorization.

1819818182016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 54.

The spelling of 1819818182016 in words is "one trillion, eight hundred nineteen billion, eight hundred eighteen million, one hundred eighty-two thousand, sixteen".