964900817029 has 16 divisors (see below), whose sum is σ = 1007225848944. Its totient is φ = 923475571200.

The previous prime is 964900817021. The next prime is 964900817033. The reversal of 964900817029 is 920718009469.

It can be written as a sum of positive squares in 8 ways, for example, as 18687436804 + 946213380225 = 136702^2 + 972735^2 .

It is a cyclic number.

It is not a de Polignac number, because 964900817029 - 2³ = 964900817021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964900817021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17837227 + ... + 17891239.

It is an arithmetic number, because the mean of its divisors is an integer number (62951615559).

Almost surely, 2^964900817029 is an apocalyptic number.

It is an amenable number.

964900817029 is a deficient number, since it is larger than the sum of its proper divisors (42325031915).

964900817029 is a wasteful number, since it uses less digits than its factorization.

964900817029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62328.

The product of its (nonzero) digits is 1959552, while the sum is 55.

The spelling of 964900817029 in words is "nine hundred sixty-four billion, nine hundred million, eight hundred seventeen thousand, twenty-nine".