464745725593444 has 81 divisors (see below), whose sum is σ = 858632162774113. Its totient is φ = 220095409416064.

The previous prime is 464745725593439. The next prime is 464745725593451. The reversal of 464745725593444 is 444395527547464.

The square root of 464745725593444 is 21557962.

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

It can be written as a sum of positive squares in 13 ways, for example, as 11169886411044 + 453575839182400 = 3342138^2 + 21297320^2 .

It is a super-2 number, since 2×464745725593444² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66269171682 + ... + 66269178694.

Almost surely, 2^{464745725593444} is an apocalyptic number.

464745725593444 is the 21557962-nd square number.

It is an amenable number.

464745725593444 is a deficient number, since it is larger than the sum of its proper divisors (393886437180669).

464745725593444 is an frugal number, since it uses more digits than its factorization.

464745725593444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14194 (or 7097 counting only the distinct ones).

The product of its digits is 8128512000, while the sum is 73.

The spelling of 464745725593444 in words is "four hundred sixty-four trillion, seven hundred forty-five billion, seven hundred twenty-five million, five hundred ninety-three thousand, four hundred forty-four".