221253133195072 has 112 divisors (see below), whose sum is σ = 499809288448512. Its totient is φ = 96192766010880.

The previous prime is 221253133195057. The next prime is 221253133195079. The reversal of 221253133195072 is 270591331352122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221253133195079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381242143 + ... + 381822049.

It is an arithmetic number, because the mean of its divisors is an integer number (4462582932576).

Almost surely, 2^{221253133195072} is an apocalyptic number.

221253133195072 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 221253133195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249904644224256).

221253133195072 is an abundant number, since it is smaller than the sum of its proper divisors (278556155253440).

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

221253133195072 is a wasteful number, since it uses less digits than its factorization.

221253133195072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603516 (or 603506 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 46.

The spelling of 221253133195072 in words is "two hundred twenty-one trillion, two hundred fifty-three billion, one hundred thirty-three million, one hundred ninety-five thousand, seventy-two".