1965140304864 has 96 divisors (see below), whose sum is σ = 5641481986560. Its totient is φ = 594011904000.

The previous prime is 1965140304859. The next prime is 1965140304893. The reversal of 1965140304864 is 4684030415691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 1896904 + ... + 2743815.

It is an arithmetic number, because the mean of its divisors is an integer number (58765437360).

Almost surely, 2^{1965140304864} is an apocalyptic number.

It is an amenable number.

1965140304864 is an abundant number, since it is smaller than the sum of its proper divisors (3676341681696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1965140304864 is a wasteful number, since it uses less digits than its factorization.

1965140304864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4641144 (or 4641136 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 1965140304864 in words is "one trillion, nine hundred sixty-five billion, one hundred forty million, three hundred four thousand, eight hundred sixty-four".