221025645814400 has 2304 divisors, whose sum is σ = 703698131865600. Its totient is φ = 68201467084800.

The previous prime is 221025645814357. The next prime is 221025645814411. The reversal of 221025645814400 is 4418546520122.

It is a super-2 number, since 2×221025645814400² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 483644738972 + ... + 483644739428.

It is an arithmetic number, because the mean of its divisors is an integer number (305424536400).

Almost surely, 2^{221025645814400} is an apocalyptic number.

221025645814400 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 221025645814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351849065932800).

221025645814400 is an abundant number, since it is smaller than the sum of its proper divisors (482672486051200).

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

221025645814400 is a wasteful number, since it uses less digits than its factorization.

221025645814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 44.

The spelling of 221025645814400 in words is "two hundred twenty-one trillion, twenty-five billion, six hundred forty-five million, eight hundred fourteen thousand, four hundred".