221474246400 has 648 divisors, whose sum is σ = 867478759056. Its totient is φ = 53462630400.

The previous prime is 221474246381. The next prime is 221474246417. The reversal of 221474246400 is 4642474122.

221474246400 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 7 + 4 + 2 + 4 + 640 + 0 = 666.

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

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, 185644204 + ... + 185645396.

Almost surely, 2^221474246400 is an apocalyptic number.

221474246400 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 221474246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433739379528).

221474246400 is an abundant number, since it is smaller than the sum of its proper divisors (646004512656).

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

221474246400 is a wasteful number, since it uses less digits than its factorization.

221474246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 221474246400 in words is "two hundred twenty-one billion, four hundred seventy-four million, two hundred forty-six thousand, four hundred".