221772253414608 has 320 divisors, whose sum is σ = 701972039802880. Its totient is φ = 66603753764352.

The previous prime is 221772253414573. The next prime is 221772253414631. The reversal of 221772253414608 is 806414352277122.

221772253414608 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 7 + 2 + 25 + 3 + 4 + 1 + 4 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343314741 + ... + 343960107.

It is an arithmetic number, because the mean of its divisors is an integer number (2193662624384).

Almost surely, 2^{221772253414608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221772253414608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350986019901440).

221772253414608 is an abundant number, since it is smaller than the sum of its proper divisors (480199786388272).

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

221772253414608 is a wasteful number, since it uses less digits than its factorization.

221772253414608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646863 (or 646851 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 221772253414608 in words is "two hundred twenty-one trillion, seven hundred seventy-two billion, two hundred fifty-three million, four hundred fourteen thousand, six hundred eight".