221448675364092 has 216 divisors, whose sum is σ = 652030223212368. Its totient is φ = 63105034122240.

The previous prime is 221448675364039. The next prime is 221448675364121. The reversal of 221448675364092 is 290463576844122.

221448675364092 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 4 + 8 + 6 + 7 + 536 + 4 + 0 + 92 = 666.

It is a super-2 number, since 2×221448675364092² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86640058 + ... + 89159390.

It is an arithmetic number, because the mean of its divisors is an integer number (3018658440798).

It is a 1-persistent number, because it is pandigital, but 2⋅221448675364092 = 442897350728184 is not.

Almost surely, 2^{221448675364092} is an apocalyptic number.

221448675364092 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 221448675364092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326015111606184).

221448675364092 is an abundant number, since it is smaller than the sum of its proper divisors (430581547848276).

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

221448675364092 is a wasteful number, since it uses less digits than its factorization.

221448675364092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520569 (or 2520553 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 221448675364092 in words is "two hundred twenty-one trillion, four hundred forty-eight billion, six hundred seventy-five million, three hundred sixty-four thousand, ninety-two".