3811163212800 has 792 divisors, whose sum is σ = 14233756397952. Its totient is φ = 973209600000.

The previous prime is 3811163212771. The next prime is 3811163212817. The reversal of 3811163212800 is 82123611183.

3811163212800 is a `hidden beast` number, since 3 + 8 + 1 + 1 + 1 + 632 + 12 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 692810050 + ... + 692815550.

Almost surely, 2^{3811163212800} is an apocalyptic number.

3811163212800 is a gapful number since it is divisible by the number (30) 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 3811163212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7116878198976).

3811163212800 is an abundant number, since it is smaller than the sum of its proper divisors (10422593185152).

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

3811163212800 is a wasteful number, since it uses less digits than its factorization.

3811163212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5665 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

Adding to 3811163212800 its reverse (82123611183), we get a palindrome (3893286823983).

The spelling of 3811163212800 in words is "three trillion, eight hundred eleven billion, one hundred sixty-three million, two hundred twelve thousand, eight hundred".