217415436952 has 64 divisors (see below), whose sum is σ = 481114368000. Its totient is φ = 90135659520.

The previous prime is 217415436949. The next prime is 217415436971. The reversal of 217415436952 is 259634514712.

217415436952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 217415436896 and 217415436905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4477299 + ... + 4525597.

It is an arithmetic number, because the mean of its divisors is an integer number (7517412000).

Almost surely, 2^217415436952 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 217415436952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240557184000).

217415436952 is an abundant number, since it is smaller than the sum of its proper divisors (263698931048).

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

217415436952 is a wasteful number, since it uses less digits than its factorization.

217415436952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50936 (or 50932 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 49.

The spelling of 217415436952 in words is "two hundred seventeen billion, four hundred fifteen million, four hundred thirty-six thousand, nine hundred fifty-two".