130224249389056 has 45 divisors (see below), whose sum is σ = 260443471829821. Its totient is φ = 65111394353152.

The previous prime is 130224249389021. The next prime is 130224249389057. The reversal of 130224249389056 is 650983942422031.

The square root of 130224249389056 is 11411584.

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

It can be written as a sum of positive squares in only one way, i.e., 30216569241600 + 100007680147456 = 5496960^2 + 10000384^2 .

It is a super-2 number, since 2×130224249389056² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130224249389057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1460638176 + ... + 1460727328.

Almost surely, 2^{130224249389056} is an apocalyptic number.

130224249389056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130224249389056 is the 11411584-th square number.

It is an amenable number.

130224249389056 is a deficient number, since it is larger than the sum of its proper divisors (130219222440765).

130224249389056 is an frugal number, since it uses more digits than its factorization.

130224249389056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178334 (or 89155 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 58.

The spelling of 130224249389056 in words is "one hundred thirty trillion, two hundred twenty-four billion, two hundred forty-nine million, three hundred eighty-nine thousand, fifty-six".