214106636240640 has 3456 divisors, whose sum is σ = 933620323184640. Its totient is φ = 46285140787200.

The previous prime is 214106636240573. The next prime is 214106636240647. The reversal of 214106636240640 is 46042636601412.

214106636240640 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 0 + 6 + 636 + 2 + 4 + 0 + 6 + 4 + 0 = 666.

214106636240640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

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 (214106636240647) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 206069909241 + ... + 206069910279.

It is an arithmetic number, because the mean of its divisors is an integer number (270144769440).

Almost surely, 2^{214106636240640} is an apocalyptic number.

214106636240640 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 214106636240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466810161592320).

214106636240640 is an abundant number, since it is smaller than the sum of its proper divisors (719513686944000).

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

214106636240640 is a wasteful number, since it uses less digits than its factorization.

214106636240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 214106636240640 in words is "two hundred fourteen trillion, one hundred six billion, six hundred thirty-six million, two hundred forty thousand, six hundred forty".