220414505832 has 128 divisors (see below), whose sum is σ = 639321984000. Its totient is φ = 70228762560.

The previous prime is 220414505803. The next prime is 220414505849. The reversal of 220414505832 is 238505414022.

220414505832 is a `hidden beast` number, since 2 + 20 + 4 + 1 + 4 + 50 + 583 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7591519 + ... + 7620497.

It is an arithmetic number, because the mean of its divisors is an integer number (4994703000).

Almost surely, 2^220414505832 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 220414505832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319660992000).

220414505832 is an abundant number, since it is smaller than the sum of its proper divisors (418907478168).

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

220414505832 is a wasteful number, since it uses less digits than its factorization.

220414505832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30548 (or 30538 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 220414505832 its reverse (238505414022), we get a palindrome (458919919854).

The spelling of 220414505832 in words is "two hundred twenty billion, four hundred fourteen million, five hundred five thousand, eight hundred thirty-two".