221036448140352 has 672 divisors, whose sum is σ = 746603034035040. Its totient is φ = 61896508047360.

The previous prime is 221036448140341. The next prime is 221036448140357. The reversal of 221036448140352 is 253041844630122.

221036448140352 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 36 + 448 + 140 + 35 + 2 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 205060567044096 + 15975881096256 = 14319936^2 + 3996984^2 .

It is a super-2 number, since 2×221036448140352² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221036448140298 and 221036448140307.

It is not an unprimeable number, because it can be changed into a prime (221036448140357) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 589574974 + ... + 589949762.

It is an arithmetic number, because the mean of its divisors is an integer number (1111016419695).

Almost surely, 2^{221036448140352} 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 221036448140352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373301517017520).

221036448140352 is an abundant number, since it is smaller than the sum of its proper divisors (525566585894688).

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

221036448140352 is a wasteful number, since it uses less digits than its factorization.

221036448140352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374991 (or 374978 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 221036448140352 in words is "two hundred twenty-one trillion, thirty-six billion, four hundred forty-eight million, one hundred forty thousand, three hundred fifty-two".