221506478001600 has 252 divisors, whose sum is σ = 798797822464152. Its totient is φ = 53698539980800.

The previous prime is 221506478001569. The next prime is 221506478001623. The reversal of 221506478001600 is 6100874605122.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 190110039 + ... + 191271638.

It is an arithmetic number, because the mean of its divisors is an integer number (3169832628826).

Almost surely, 2^{221506478001600} is an apocalyptic number.

221506478001600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221506478001600 is an abundant number, since it is smaller than the sum of its proper divisors (577291344462552).

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

221506478001600 is a wasteful number, since it uses less digits than its factorization.

221506478001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381381724 (or 381381698 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 221506478001600 in words is "two hundred twenty-one trillion, five hundred six billion, four hundred seventy-eight million, one thousand, six hundred".