221946652704 has 192 divisors, whose sum is σ = 668842997760. Its totient is φ = 63128156160.

The previous prime is 221946652693. The next prime is 221946652717. The reversal of 221946652704 is 407256649122.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215272669 + ... + 215273699.

It is an arithmetic number, because the mean of its divisors is an integer number (3483557280).

Almost surely, 2^221946652704 is an apocalyptic number.

221946652704 is a gapful number since it is divisible by the number (24) 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 221946652704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334421498880).

221946652704 is an abundant number, since it is smaller than the sum of its proper divisors (446896345056).

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

221946652704 is a wasteful number, since it uses less digits than its factorization.

221946652704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2175 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 221946652704 in words is "two hundred twenty-one billion, nine hundred forty-six million, six hundred fifty-two thousand, seven hundred four".