220429804896 has 480 divisors, whose sum is σ = 756894378240. Its totient is φ = 61632451584.

The previous prime is 220429804873. The next prime is 220429804927. The reversal of 220429804896 is 698408924022.

220429804896 is a `hidden beast` number, since 220 + 4 + 298 + 0 + 48 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 217600486 + ... + 217601498.

It is an arithmetic number, because the mean of its divisors is an integer number (1576863288).

Almost surely, 2^220429804896 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 220429804896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378447189120).

220429804896 is an abundant number, since it is smaller than the sum of its proper divisors (536464573344).

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

220429804896 is a wasteful number, since it uses less digits than its factorization.

220429804896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 220429804896 in words is "two hundred twenty billion, four hundred twenty-nine million, eight hundred four thousand, eight hundred ninety-six".