221653043477442 has 128 divisors (see below), whose sum is σ = 504309525120000. Its totient is φ = 73044993504384.

The previous prime is 221653043477423. The next prime is 221653043477539. The reversal of 221653043477442 is 244774340356122.

221653043477442 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 530 + 4 + 34 + 7 + 74 + 4 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3543639184 + ... + 3543701732.

It is an arithmetic number, because the mean of its divisors is an integer number (3939918165000).

Almost surely, 2^{221653043477442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221653043477442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252154762560000).

221653043477442 is an abundant number, since it is smaller than the sum of its proper divisors (282656481642558).

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

221653043477442 is an frugal number, since it uses more digits than its factorization.

221653043477442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71764 (or 71746 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 54.

The spelling of 221653043477442 in words is "two hundred twenty-one trillion, six hundred fifty-three billion, forty-three million, four hundred seventy-seven thousand, four hundred forty-two".