10222354318572 has 576 divisors, whose sum is σ = 31679277686784. Its totient is φ = 2741037742080.

The previous prime is 10222354318559. The next prime is 10222354318591. The reversal of 10222354318572 is 27581345322201.

10222354318572 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 35 + 43 + 1 + 8 + 572 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6711985003 + ... + 6711986525.

It is an arithmetic number, because the mean of its divisors is an integer number (54998745984).

Almost surely, 2^{10222354318572} is an apocalyptic number.

10222354318572 is a gapful number since it is divisible by the number (12) 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 10222354318572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15839638843392).

10222354318572 is an abundant number, since it is smaller than the sum of its proper divisors (21456923368212).

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

10222354318572 is a wasteful number, since it uses less digits than its factorization.

10222354318572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 10222354318572 in words is "ten trillion, two hundred twenty-two billion, three hundred fifty-four million, three hundred eighteen thousand, five hundred seventy-two".