220487913216 has 288 divisors, whose sum is σ = 692337139200. Its totient is φ = 68976230400.

The previous prime is 220487913109. The next prime is 220487913293. The reversal of 220487913216 is 612319784022.

220487913216 is a `hidden beast` number, since 2 + 20 + 487 + 9 + 132 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×220487913216² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 44531541 + ... + 44536491.

It is an arithmetic number, because the mean of its divisors is an integer number (2403948400).

Almost surely, 2^220487913216 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 220487913216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346168569600).

220487913216 is an abundant number, since it is smaller than the sum of its proper divisors (471849225984).

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

220487913216 is a wasteful number, since it uses less digits than its factorization.

220487913216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5372 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 220487913216 in words is "two hundred twenty billion, four hundred eighty-seven million, nine hundred thirteen thousand, two hundred sixteen".