1813866912000 has 2304 divisors, whose sum is σ = 8041801098240. Its totient is φ = 396804096000.

The previous prime is 1813866911977. The next prime is 1813866912059. The reversal of 1813866912000 is 2196683181.

1813866912000 is a `hidden beast` number, since 1 + 8 + 1 + 386 + 69 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1813866912000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6548255862 + ... + 6548256138.

It is an arithmetic number, because the mean of its divisors is an integer number (3490365060).

Almost surely, 2^{1813866912000} is an apocalyptic number.

1813866912000 is a gapful number since it is divisible by the number (10) 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 1813866912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020900549120).

1813866912000 is an abundant number, since it is smaller than the sum of its proper divisors (6227934186240).

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

1813866912000 is a wasteful number, since it uses less digits than its factorization.

1813866912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1813866912000 in words is "one trillion, eight hundred thirteen billion, eight hundred sixty-six million, nine hundred twelve thousand".