20381446800 has 1200 divisors, whose sum is σ = 88611703488. Its totient is φ = 4420915200.

The previous prime is 20381446783. The next prime is 20381446807. The reversal of 20381446800 is 864418302.

20381446800 is a `hidden beast` number, since 203 + 8 + 1 + 446 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×20381446800³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (20381446807) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 245559559 + ... + 245559641.

Almost surely, 2^20381446800 is an apocalyptic number.

20381446800 is a gapful number since it is divisible by the number (20) 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 20381446800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44305851744).

20381446800 is an abundant number, since it is smaller than the sum of its proper divisors (68230256688).

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

20381446800 is a wasteful number, since it uses less digits than its factorization.

20381446800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20381446800 in words is "twenty billion, three hundred eighty-one million, four hundred forty-six thousand, eight hundred".