221352453140 has 192 divisors, whose sum is σ = 592477079040. Its totient is φ = 67604060160.

The previous prime is 221352453107. The next prime is 221352453181. The reversal of 221352453140 is 41354253122.

It is a super-2 number, since 2×221352453140² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221352453097 and 221352453106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5865251 + ... + 5902869.

It is an arithmetic number, because the mean of its divisors is an integer number (3085818120).

Almost surely, 2^221352453140 is an apocalyptic number.

221352453140 is a gapful number since it is divisible by the number (20) 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 221352453140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296238539520).

221352453140 is an abundant number, since it is smaller than the sum of its proper divisors (371124625900).

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

221352453140 is a wasteful number, since it uses less digits than its factorization.

221352453140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37762 (or 37760 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 221352453140 in words is "two hundred twenty-one billion, three hundred fifty-two million, four hundred fifty-three thousand, one hundred forty".