18812153940804 has 405 divisors, whose sum is σ = 59298524698413. Its totient is φ = 5185187711424.

The previous prime is 18812153940751. The next prime is 18812153940847. The reversal of 18812153940804 is 40804935121881.

The square root of 18812153940804 is 4337298.

It is a perfect power (a square), and thus also a powerful number.

18812153940804 is a `hidden beast` number, since 1 + 8 + 8 + 1 + 21 + 539 + 4 + 0 + 80 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9864637203204 + 8947516737600 = 3140802^2 + 2991240^2 .

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

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 134 ways as a sum of consecutive naturals, for example, 15848486299 + ... + 15848487485.

Almost surely, 2^{18812153940804} is an apocalyptic number.

18812153940804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

18812153940804 is the 4337298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18812153940804

18812153940804 is an abundant number, since it is smaller than the sum of its proper divisors (40486370757609).

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

18812153940804 is an equidigital number, since it uses as much as digits as its factorization.

18812153940804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 18812153940804 in words is "eighteen trillion, eight hundred twelve billion, one hundred fifty-three million, nine hundred forty thousand, eight hundred four".