221294030344920 has 2048 divisors, whose sum is σ = 870058506240000. Its totient is φ = 49566569988096.

The previous prime is 221294030344913. The next prime is 221294030345009. The reversal of 221294030344920 is 29443030492122.

221294030344920 is a `hidden beast` number, since 2 + 2 + 12 + 94 + 0 + 30 + 34 + 492 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 154427096524 + ... + 154427097956.

It is an arithmetic number, because the mean of its divisors is an integer number (424833255000).

Almost surely, 2^{221294030344920} is an apocalyptic number.

221294030344920 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 221294030344920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435029253120000).

221294030344920 is an abundant number, since it is smaller than the sum of its proper divisors (648764475895080).

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

221294030344920 is a wasteful number, since it uses less digits than its factorization.

221294030344920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 221294030344920 in words is "two hundred twenty-one trillion, two hundred ninety-four billion, thirty million, three hundred forty-four thousand, nine hundred twenty".