214133992800 has 1152 divisors, whose sum is σ = 915205423104. Its totient is φ = 42249461760.

The previous prime is 214133992769. The next prime is 214133992819. The reversal of 214133992800 is 8299331412.

214133992800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 236089947 + ... + 236090853.

It is an arithmetic number, because the mean of its divisors is an integer number (794449152).

Almost surely, 2^214133992800 is an apocalyptic number.

214133992800 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 214133992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457602711552).

214133992800 is an abundant number, since it is smaller than the sum of its proper divisors (701071430304).

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

214133992800 is a wasteful number, since it uses less digits than its factorization.

214133992800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 214133992800 in words is "two hundred fourteen billion, one hundred thirty-three million, nine hundred ninety-two thousand, eight hundred".