1814121829005 has 16 divisors (see below), whose sum is σ = 3073335804864. Its totient is φ = 910618016000.

The previous prime is 1814121829001. The next prime is 1814121829021. The reversal of 1814121829005 is 5009281214181.

It is a happy number.

It is not a de Polignac number, because 1814121829005 - 2² = 1814121829001 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1814121829001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3557101371 + ... + 3557101880.

It is an arithmetic number, because the mean of its divisors is an integer number (192083487804).

Almost surely, 2^{1814121829005} is an apocalyptic number.

1814121829005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1814121829005 is a deficient number, since it is larger than the sum of its proper divisors (1259213975859).

1814121829005 is a wasteful number, since it uses less digits than its factorization.

1814121829005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7114203276.

The product of its (nonzero) digits is 46080, while the sum is 42.

The spelling of 1814121829005 in words is "one trillion, eight hundred fourteen billion, one hundred twenty-one million, eight hundred twenty-nine thousand, five".