1815184461816 has 192 divisors, whose sum is σ = 5433924787200. Its totient is φ = 542793888000.

The previous prime is 1815184461749. The next prime is 1815184461851. The reversal of 1815184461816 is 6181644815181.

It is a happy number.

1815184461816 is a `hidden beast` number, since 1 + 8 + 1 + 5 + 1 + 8 + 4 + 4 + 618 + 16 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130572466 + ... + 130586366.

It is an arithmetic number, because the mean of its divisors is an integer number (28301691600).

Almost surely, 2^{1815184461816} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1815184461816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2716962393600).

1815184461816 is an abundant number, since it is smaller than the sum of its proper divisors (3618740325384).

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

1815184461816 is a wasteful number, since it uses less digits than its factorization.

1815184461816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16090 (or 16083 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 54.

The spelling of 1815184461816 in words is "one trillion, eight hundred fifteen billion, one hundred eighty-four million, four hundred sixty-one thousand, eight hundred sixteen".