221975067604752 has 960 divisors, whose sum is σ = 810761210628096. Its totient is φ = 57115140526080.

The previous prime is 221975067604739. The next prime is 221975067604813. The reversal of 221975067604752 is 257406760579122.

It is a happy number.

221975067604752 is a `hidden beast` number, since 2 + 2 + 1 + 9 + 7 + 506 + 76 + 0 + 4 + 7 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 221975067604752.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15273856878 + ... + 15273871410.

Almost surely, 2^{221975067604752} is an apocalyptic number.

221975067604752 is a gapful number since it is divisible by the number (22) 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 221975067604752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405380605314048).

221975067604752 is an abundant number, since it is smaller than the sum of its proper divisors (588786143023344).

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

221975067604752 is a wasteful number, since it uses less digits than its factorization.

221975067604752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15050 (or 15032 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 63.

The spelling of 221975067604752 in words is "two hundred twenty-one trillion, nine hundred seventy-five billion, sixty-seven million, six hundred four thousand, seven hundred fifty-two".