22180219129744 has 225 divisors, whose sum is σ = 48733714769619. Its totient is φ = 9774844085760.

The previous prime is 22180219129711. The next prime is 22180219129751. The reversal of 22180219129744 is 44792191208122.

It is a happy number.

The square root of 22180219129744 is 4709588.

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 14773722195600 + 7406496934144 = 3843660^2 + 2721488^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22180219129691 and 22180219129700.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 471919555929 + ... + 471919555975.

Almost surely, 2^{22180219129744} is an apocalyptic number.

22180219129744 is the 4709588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22180219129744

22180219129744 is an abundant number, since it is smaller than the sum of its proper divisors (26553495639875).

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

22180219129744 is an frugal number, since it uses more digits than its factorization.

22180219129744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 52.

The spelling of 22180219129744 in words is "twenty-two trillion, one hundred eighty billion, two hundred nineteen million, one hundred twenty-nine thousand, seven hundred forty-four".