9465824448964 has 81 divisors (see below), whose sum is σ = 18197768133909. Its totient is φ = 4306336669440.

The previous prime is 9465824448959. The next prime is 9465824448967. The reversal of 9465824448964 is 4698444285649.

The square root of 9465824448964 is 3076658.

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

9465824448964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 5105078151364 + 4360746297600 = 2259442^2 + 2088240^2 .

It is a super-2 number, since 2×9465824448964² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (73).

It is not an unprimeable number, because it can be changed into a prime (9465824448967) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5839496074 + ... + 5839497694.

Almost surely, 2^{9465824448964} is an apocalyptic number.

9465824448964 is the 3076658-th square number.

It is an amenable number.

9465824448964 is a deficient number, since it is larger than the sum of its proper divisors (8731943684945).

9465824448964 is an equidigital number, since it uses as much as digits as its factorization.

9465824448964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 1709 counting only the distinct ones).

The product of its digits is 1911029760, while the sum is 73.

The spelling of 9465824448964 in words is "nine trillion, four hundred sixty-five billion, eight hundred twenty-four million, four hundred forty-eight thousand, nine hundred sixty-four".