5945121580644 has 297 divisors, whose sum is σ = 16256510476843. Its totient is φ = 1902312506304.

The previous prime is 5945121580639. The next prime is 5945121580661. The reversal of 5945121580644 is 4460851215495.

It is a happy number.

The square root of 5945121580644 is 2438262.

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

5945121580644 is a `hidden beast` number, since 5 + 9 + 4 + 5 + 12 + 1 + 580 + 6 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1388980102500 + 4556141478144 = 1178550^2 + 2134512^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

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 98 ways as a sum of consecutive naturals, for example, 34364864542 + ... + 34364864714.

Almost surely, 2^{5945121580644} is an apocalyptic number.

5945121580644 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5945121580644 is the 2438262-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5945121580644

5945121580644 is an abundant number, since it is smaller than the sum of its proper divisors (10311388896199).

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

5945121580644 is an frugal number, since it uses more digits than its factorization.

5945121580644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 5945121580644 in words is "five trillion, nine hundred forty-five billion, one hundred twenty-one million, five hundred eighty thousand, six hundred forty-four".