214201202452000 has 96 divisors (see below), whose sum is σ = 539128753725744. Its totient is φ = 83590713088000.

The previous prime is 214201202451923. The next prime is 214201202452001. The reversal of 214201202452000 is 254202102412.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 42443088106896 + 171758114345104 = 6514836^2 + 13105652^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (214201202452001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652888447 + ... + 653216446.

Almost surely, 2^{214201202452000} is an apocalyptic number.

214201202452000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214201202452000 is an abundant number, since it is smaller than the sum of its proper divisors (324927551273744).

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

214201202452000 is a wasteful number, since it uses less digits than its factorization.

214201202452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306104959 (or 1306104941 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 214201202452000 its reverse (254202102412), we get a palindrome (214455404554412).

The spelling of 214201202452000 in words is "two hundred fourteen trillion, two hundred one billion, two hundred two million, four hundred fifty-two thousand".