1464136300225 has 81 divisors (see below), whose sum is σ = 1964998916451. Its totient is φ = 1082043813600.

The previous prime is 1464136300219. The next prime is 1464136300259. The reversal of 1464136300225 is 5220036314641.

The square root of 1464136300225 is 1210015.

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., 527089068081 + 937047232144 = 726009^2 + 968012^2 .

It is not a de Polignac number, because 1464136300225 - 2¹⁵ = 1464136267457 is a prime.

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, 5402716840 + ... + 5402717110.

Almost surely, 2^{1464136300225} is an apocalyptic number.

1464136300225 is the 1210015-th square number.

1464136300225 is the 605008-th centered octagonal number.

It is an amenable number.

1464136300225 is a deficient number, since it is larger than the sum of its proper divisors (500862616226).

1464136300225 is an frugal number, since it uses more digits than its factorization.

1464136300225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 1464136300225 in words is "one trillion, four hundred sixty-four billion, one hundred thirty-six million, three hundred thousand, two hundred twenty-five".