220222946498400 has 432 divisors, whose sum is σ = 777692211856560. Its totient is φ = 58640653209600.

The previous prime is 220222946498351. The next prime is 220222946498479. The reversal of 220222946498400 is 4894649222022.

220222946498400 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 2 + 2 + 94 + 64 + 98 + 400 = 666.

220222946498400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14949619035 + ... + 14949633765.

Almost surely, 2^{220222946498400} is an apocalyptic number.

220222946498400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220222946498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388846105928280).

220222946498400 is an abundant number, since it is smaller than the sum of its proper divisors (557469265358160).

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

220222946498400 is a wasteful number, since it uses less digits than its factorization.

220222946498400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17639 (or 17623 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 220222946498400 in words is "two hundred twenty trillion, two hundred twenty-two billion, nine hundred forty-six million, four hundred ninety-eight thousand, four hundred".