217146142752 has 192 divisors, whose sum is σ = 722311769088. Its totient is φ = 55476864000.

The previous prime is 217146142739. The next prime is 217146142781. The reversal of 217146142752 is 257241641712.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210127 + ... + 691697.

It is an arithmetic number, because the mean of its divisors is an integer number (3762040464).

Almost surely, 2^217146142752 is an apocalyptic number.

217146142752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217146142752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361155884544).

217146142752 is an abundant number, since it is smaller than the sum of its proper divisors (505165626336).

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

217146142752 is a wasteful number, since it uses less digits than its factorization.

217146142752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481663 (or 481655 counting only the distinct ones).

The product of its digits is 188160, while the sum is 42.

The spelling of 217146142752 in words is "two hundred seventeen billion, one hundred forty-six million, one hundred forty-two thousand, seven hundred fifty-two".