1816038548352 has 384 divisors, whose sum is σ = 6215684616960. Its totient is φ = 517017157632.

The previous prime is 1816038548341. The next prime is 1816038548399. The reversal of 1816038548352 is 2538458306181.

1816038548352 is a `hidden beast` number, since 1 + 8 + 1 + 60 + 3 + 8 + 548 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61602288 + ... + 61631760.

It is an arithmetic number, because the mean of its divisors is an integer number (16186678690).

Almost surely, 2^{1816038548352} is an apocalyptic number.

1816038548352 is a gapful number since it is divisible by the number (12) 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 1816038548352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107842308480).

1816038548352 is an abundant number, since it is smaller than the sum of its proper divisors (4399646068608).

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

1816038548352 is an equidigital number, since it uses as much as digits as its factorization.

1816038548352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29792 (or 29768 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 1816038548352 in words is "one trillion, eight hundred sixteen billion, thirty-eight million, five hundred forty-eight thousand, three hundred fifty-two".