220497282432 has 896 divisors, whose sum is σ = 804482976000. Its totient is φ = 58773123072.

The previous prime is 220497282359. The next prime is 220497282463. The reversal of 220497282432 is 234282794022.

220497282432 is a `hidden beast` number, since 2 + 204 + 9 + 7 + 2 + 8 + 2 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1352743983 + ... + 1352744145.

Almost surely, 2^220497282432 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 220497282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402241488000).

220497282432 is an abundant number, since it is smaller than the sum of its proper divisors (583985693568).

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

220497282432 is a wasteful number, since it uses less digits than its factorization.

220497282432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 220497282432 in words is "two hundred twenty billion, four hundred ninety-seven million, two hundred eighty-two thousand, four hundred thirty-two".