217023870217434 has 96 divisors (see below), whose sum is σ = 521690517282816. Its totient is φ = 59950147148640.

The previous prime is 217023870217339. The next prime is 217023870217477. The reversal of 217023870217434 is 434712078320712.

217023870217434 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1512262 + ... + 20888625.

It is an arithmetic number, because the mean of its divisors is an integer number (5434276221696).

Almost surely, 2^{217023870217434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217023870217434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260845258641408).

217023870217434 is an abundant number, since it is smaller than the sum of its proper divisors (304666647065382).

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

217023870217434 is a wasteful number, since it uses less digits than its factorization.

217023870217434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22402000 (or 22401993 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 217023870217434 in words is "two hundred seventeen trillion, twenty-three billion, eight hundred seventy million, two hundred seventeen thousand, four hundred thirty-four".