64144801812025 has 81 divisors (see below), whose sum is σ = 87956280754797. Its totient is φ = 46370448379200.

The previous prime is 64144801812001. The next prime is 64144801812031. The reversal of 64144801812025 is 52021810844146.

The square root of 64144801812025 is 8009045.

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 10852932995641 + 53291868816384 = 3294379^2 + 7300128^2 .

It is not a de Polignac number, because 64144801812025 - 2²¹ = 64144799714873 is a prime.

It is a super-2 number, since 2×64144801812025² (a number of 28 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 80 ways as a sum of consecutive naturals, for example, 98230936599 + ... + 98230937251.

Almost surely, 2^{64144801812025} is an apocalyptic number.

64144801812025 is the 8009045-th square number.

64144801812025 is the 4004523-rd centered octagonal number.

It is an amenable number.

64144801812025 is a deficient number, since it is larger than the sum of its proper divisors (23811478942772).

64144801812025 is an frugal number, since it uses more digits than its factorization.

64144801812025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 46.

The spelling of 64144801812025 in words is "sixty-four trillion, one hundred forty-four billion, eight hundred one million, eight hundred twelve thousand, twenty-five".