214768195200 has 480 divisors, whose sum is σ = 853520019660. Its totient is φ = 52865187840.

The previous prime is 214768195189. The next prime is 214768195259. The reversal of 214768195200 is 2591867412.

214768195200 is a `hidden beast` number, since 2 + 1 + 47 + 6 + 81 + 9 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1035809856 + 213732385344 = 32184^2 + 462312^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×214768195200² (a number of 23 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3337732 + ... + 3401468.

Almost surely, 2^214768195200 is an apocalyptic number.

214768195200 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 214768195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426760009830).

214768195200 is an abundant number, since it is smaller than the sum of its proper divisors (638751824460).

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

214768195200 is a wasteful number, since it uses less digits than its factorization.

214768195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63786 (or 63760 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 214768195200 in words is "two hundred fourteen billion, seven hundred sixty-eight million, one hundred ninety-five thousand, two hundred".