213826076114400 has 432 divisors, whose sum is σ = 768755694142800. Its totient is φ = 55909700935680.

The previous prime is 213826076114393. The next prime is 213826076114407. The reversal of 213826076114400 is 4411670628312.

213826076114400 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 2 + 60 + 76 + 114 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (213826076114393) and next prime (213826076114407).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213826076114407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 164600212 + ... + 165894188.

It is an arithmetic number, because the mean of its divisors is an integer number (1779527069775).

Almost surely, 2^{213826076114400} is an apocalyptic number.

213826076114400 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 213826076114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384377847071400).

213826076114400 is an abundant number, since it is smaller than the sum of its proper divisors (554929618028400).

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

213826076114400 is a wasteful number, since it uses less digits than its factorization.

213826076114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294451 (or 1294435 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 213826076114400 in words is "two hundred thirteen trillion, eight hundred twenty-six billion, seventy-six million, one hundred fourteen thousand, four hundred".