217233874416 has 320 divisors, whose sum is σ = 647734542336. Its totient is φ = 62255001600.

The previous prime is 217233874399. The next prime is 217233874499. The reversal of 217233874416 is 614478332712.

217233874416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 55457290 + ... + 55461206.

Almost surely, 2^217233874416 is an apocalyptic number.

217233874416 is a gapful number since it is divisible by the number (26) 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 217233874416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323867271168).

217233874416 is an abundant number, since it is smaller than the sum of its proper divisors (430500667920).

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

217233874416 is a wasteful number, since it uses less digits than its factorization.

217233874416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4080 (or 4074 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The spelling of 217233874416 in words is "two hundred seventeen billion, two hundred thirty-three million, eight hundred seventy-four thousand, four hundred sixteen".