221245408800 has 1440 divisors, whose sum is σ = 955990062720. Its totient is φ = 49268736000.

The previous prime is 221245408799. The next prime is 221245408831. The reversal of 221245408800 is 8804542122.

221245408800 is a `hidden beast` number, since 2 + 2 + 1 + 245 + 408 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 368128500 + ... + 368129100.

It is an arithmetic number, because the mean of its divisors is an integer number (663881988).

Almost surely, 2^221245408800 is an apocalyptic number.

221245408800 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 221245408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477995031360).

221245408800 is an abundant number, since it is smaller than the sum of its proper divisors (734744653920).

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

221245408800 is a wasteful number, since it uses less digits than its factorization.

221245408800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 221245408800 in words is "two hundred twenty-one billion, two hundred forty-five million, four hundred eight thousand, eight hundred".