214137762085008 has 480 divisors, whose sum is σ = 626538606819840. Its totient is φ = 68191062589440.

The previous prime is 214137762085003. The next prime is 214137762085019. The reversal of 214137762085008 is 800580267731412.

214137762085008 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 3 + 7 + 7 + 620 + 8 + 5 + 0 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (214137762085003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135273380185 + ... + 135273381767.

It is an arithmetic number, because the mean of its divisors is an integer number (1305288764208).

Almost surely, 2^{214137762085008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214137762085008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313269303409920).

214137762085008 is an abundant number, since it is smaller than the sum of its proper divisors (412400844734832).

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

214137762085008 is a wasteful number, since it uses less digits than its factorization.

214137762085008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 214137762085008 in words is "two hundred fourteen trillion, one hundred thirty-seven billion, seven hundred sixty-two million, eighty-five thousand, eight".