1800193679136 has 192 divisors, whose sum is σ = 5528839680000. Its totient is φ = 568283786496.

The previous prime is 1800193679099. The next prime is 1800193679149. The reversal of 1800193679136 is 6319763910081.

It is a happy number.

1800193679136 is a `hidden beast` number, since 180 + 0 + 19 + 367 + 91 + 3 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51183925 + ... + 51219083.

It is an arithmetic number, because the mean of its divisors is an integer number (28796040000).

Almost surely, 2^{1800193679136} is an apocalyptic number.

1800193679136 is a gapful number since it is divisible by the number (16) 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 1800193679136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764419840000).

1800193679136 is an abundant number, since it is smaller than the sum of its proper divisors (3728646000864).

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

1800193679136 is a wasteful number, since it uses less digits than its factorization.

1800193679136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38316 (or 38302 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 1800193679136 in words is "one trillion, eight hundred billion, one hundred ninety-three million, six hundred seventy-nine thousand, one hundred thirty-six".