220535415405312 has 576 divisors, whose sum is σ = 700579806173184. Its totient is φ = 60275311902720.

The previous prime is 220535415405197. The next prime is 220535415405317. The reversal of 220535415405312 is 213504514535022.

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

It is not an unprimeable number, because it can be changed into a prime (220535415405317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4602998637 + ... + 4603046547.

Almost surely, 2^{220535415405312} 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 220535415405312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350289903086592).

220535415405312 is an abundant number, since it is smaller than the sum of its proper divisors (480044390767872).

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

220535415405312 is a wasteful number, since it uses less digits than its factorization.

220535415405312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48364 (or 48350 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 220535415405312 in words is "two hundred twenty trillion, five hundred thirty-five billion, four hundred fifteen million, four hundred five thousand, three hundred twelve".