221317447680 has 1440 divisors, whose sum is σ = 963444168960. Its totient is φ = 45864714240.

The previous prime is 221317447639. The next prime is 221317447697. The reversal of 221317447680 is 86744713122.

221317447680 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 174 + 476 + 8 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3628154850 + ... + 3628154910.

Almost surely, 2^221317447680 is an apocalyptic number.

221317447680 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 221317447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481722084480).

221317447680 is an abundant number, since it is smaller than the sum of its proper divisors (742126721280).

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

221317447680 is a wasteful number, since it uses less digits than its factorization.

221317447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 221317447680 in words is "two hundred twenty-one billion, three hundred seventeen million, four hundred forty-seven thousand, six hundred eighty".