214220986217472 has 1408 divisors, whose sum is σ = 700932458741760. Its totient is φ = 57535372984320.

The previous prime is 214220986217419. The next prime is 214220986217507. The reversal of 214220986217472 is 274712689022412.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40905284038 + ... + 40905289274.

Almost surely, 2^{214220986217472} 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 214220986217472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350466229370880).

214220986217472 is an abundant number, since it is smaller than the sum of its proper divisors (486711472524288).

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

214220986217472 is a wasteful number, since it uses less digits than its factorization.

214220986217472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5407 (or 5389 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 57.

The spelling of 214220986217472 in words is "two hundred fourteen trillion, two hundred twenty billion, nine hundred eighty-six million, two hundred seventeen thousand, four hundred seventy-two".