60006381444 has 135 divisors (see below), whose sum is σ = 162462115431. Its totient is φ = 19312804080.

The previous prime is 60006381427. The next prime is 60006381451. The reversal of 60006381444 is 44418360006.

The square root of 60006381444 is 244962.

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

60006381444 is a `hidden beast` number, since 6 + 0 + 0 + 0 + 638 + 14 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 60006381399 and 60006381408.

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 44 ways as a sum of consecutive naturals, for example, 136688577 + ... + 136689015.

Almost surely, 2^60006381444 is an apocalyptic number.

60006381444 is the 244962-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60006381444

60006381444 is an abundant number, since it is smaller than the sum of its proper divisors (102455733987).

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

60006381444 is an equidigital number, since it uses as much as digits as its factorization.

60006381444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 60006381444 by its sum of digits (36), we get a square (2160229731984 = 1469772²).

60006381444 divided by its sum of digits (36) gives a square (1666843929 = 40827²).

The spelling of 60006381444 in words is "sixty billion, six million, three hundred eighty-one thousand, four hundred forty-four".