221650646454552 has 384 divisors, whose sum is σ = 713543998464000. Its totient is φ = 56035434424320.

The previous prime is 221650646454491. The next prime is 221650646454553. The reversal of 221650646454552 is 255454646056122.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 221650646454492 and 221650646454501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221650646454553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119928849 + ... + 121763007.

It is an arithmetic number, because the mean of its divisors is an integer number (1858187496000).

Almost surely, 2^{221650646454552} 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 221650646454552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356771999232000).

221650646454552 is an abundant number, since it is smaller than the sum of its proper divisors (491893352009448).

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

221650646454552 is a wasteful number, since it uses less digits than its factorization.

221650646454552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1834359 (or 1834338 counting only the distinct ones).

The product of its (nonzero) digits is 69120000, while the sum is 57.

The spelling of 221650646454552 in words is "two hundred twenty-one trillion, six hundred fifty billion, six hundred forty-six million, four hundred fifty-four thousand, five hundred fifty-two".