214346008715104 has 48 divisors (see below), whose sum is σ = 482280229122048. Its totient is φ = 91862249542272.

The previous prime is 214346008714979. The next prime is 214346008715143. The reversal of 214346008715104 is 401517800643412.

214346008715104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×214346008715104² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68021857 + ... + 71103199.

It is an arithmetic number, because the mean of its divisors is an integer number (10047504773376).

Almost surely, 2^{214346008715104} is an apocalyptic number.

It is an amenable number.

214346008715104 is an abundant number, since it is smaller than the sum of its proper divisors (267934220406944).

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

214346008715104 is a wasteful number, since it uses less digits than its factorization.

214346008715104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391907 (or 3391899 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 214346008715104 in words is "two hundred fourteen trillion, three hundred forty-six billion, eight million, seven hundred fifteen thousand, one hundred four".