217145272032 has 1152 divisors, whose sum is σ = 798077629440. Its totient is φ = 55180984320.

The previous prime is 217145271961. The next prime is 217145272033. The reversal of 217145272032 is 230272541712.

217145272032 is a `hidden beast` number, since 2 + 171 + 452 + 7 + 2 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217145272033) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1029124407 + ... + 1029124617.

It is an arithmetic number, because the mean of its divisors is an integer number (692775720).

Almost surely, 2^217145272032 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 217145272032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399038814720).

217145272032 is an abundant number, since it is smaller than the sum of its proper divisors (580932357408).

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

217145272032 is a wasteful number, since it uses less digits than its factorization.

217145272032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 217145272032 in words is "two hundred seventeen billion, one hundred forty-five million, two hundred seventy-two thousand, thirty-two".