22010829064900 has 243 divisors, whose sum is σ = 52283781887463. Its totient is φ = 8039474352000.

The previous prime is 22010829064883. The next prime is 22010829064901. The reversal of 22010829064900 is 946092801022.

It is a happy number.

The square root of 22010829064900 is 4691570.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5673323751876 + 16337505313024 = 2381874^2 + 4041968^2 .

It is a super-2 number, since 2×22010829064900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22010829064901) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 92095518981 + ... + 92095519219.

Almost surely, 2^{22010829064900} is an apocalyptic number.

22010829064900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22010829064900 is the 4691570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22010829064900

22010829064900 is an abundant number, since it is smaller than the sum of its proper divisors (30272952822563).

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

22010829064900 is a wasteful number, since it uses less digits than its factorization.

22010829064900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 22010829064900 in words is "twenty-two trillion, ten billion, eight hundred twenty-nine million, sixty-four thousand, nine hundred".