1813015579806 has 128 divisors (see below), whose sum is σ = 4211104550400. Its totient is φ = 577459653120.

The previous prime is 1813015579787. The next prime is 1813015579847. The reversal of 1813015579806 is 6089755103181.

It is a happy number.

1813015579806 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 0 + 1 + 557 + 9 + 80 + 6 = 666.

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 63 ways as a sum of consecutive naturals, for example, 122270565 + ... + 122285391.

It is an arithmetic number, because the mean of its divisors is an integer number (32899254300).

Almost surely, 2^{1813015579806} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1813015579806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105552275200).

1813015579806 is an abundant number, since it is smaller than the sum of its proper divisors (2398088970594).

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

1813015579806 is a wasteful number, since it uses less digits than its factorization.

1813015579806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15671 (or 15665 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 54.

The spelling of 1813015579806 in words is "one trillion, eight hundred thirteen billion, fifteen million, five hundred seventy-nine thousand, eight hundred six".