213454141045200 has 600 divisors, whose sum is σ = 837707617343520. Its totient is φ = 51622922419200.

The previous prime is 213454141045193. The next prime is 213454141045213. The reversal of 213454141045200 is 2540141454312.

213454141045200 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 541 + 4 + 104 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 148616902 + ... + 150046298.

Almost surely, 2^{213454141045200} is an apocalyptic number.

213454141045200 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 213454141045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418853808671760).

213454141045200 is an abundant number, since it is smaller than the sum of its proper divisors (624253476298320).

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

213454141045200 is a wasteful number, since it uses less digits than its factorization.

213454141045200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429857 (or 1429837 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 213454141045200 its reverse (2540141454312), we get a palindrome (215994282499512).

The spelling of 213454141045200 in words is "two hundred thirteen trillion, four hundred fifty-four billion, one hundred forty-one million, forty-five thousand, two hundred".