964575408385 has 16 divisors (see below), whose sum is σ = 1225635138000. Its totient is φ = 726234781696.

The previous prime is 964575408319. The next prime is 964575408413. The reversal of 964575408385 is 583804575469.

It is a Cunningham number, because it is equal to 982128²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 16431137856 + 948144270529 = 128184^2 + 973727^2 .

It is a cyclic number.

It is not a de Polignac number, because 964575408385 - 2²⁵ = 964541853953 is a prime.

It is a super-2 number, since 2×964575408385² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1657341 + ... + 2162389.

It is an arithmetic number, because the mean of its divisors is an integer number (76602196125).

Almost surely, 2^964575408385 is an apocalyptic number.

It is an amenable number.

964575408385 is a deficient number, since it is larger than the sum of its proper divisors (261059729615).

964575408385 is a wasteful number, since it uses less digits than its factorization.

964575408385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527540.

The product of its (nonzero) digits is 145152000, while the sum is 64.

The spelling of 964575408385 in words is "nine hundred sixty-four billion, five hundred seventy-five million, four hundred eight thousand, three hundred eighty-five".