1956608242864 has 80 divisors (see below), whose sum is σ = 4150488101760. Its totient is φ = 886158766080.

The previous prime is 1956608242829. The next prime is 1956608242879. The reversal of 1956608242864 is 4682428066591.

It is a happy 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, 231739027 + ... + 231747469.

It is an arithmetic number, because the mean of its divisors is an integer number (51881101272).

Almost surely, 2^{1956608242864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1956608242864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075244050880).

1956608242864 is an abundant number, since it is smaller than the sum of its proper divisors (2193879858896).

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

1956608242864 is a wasteful number, since it uses less digits than its factorization.

1956608242864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13058 (or 13052 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 61.

The spelling of 1956608242864 in words is "one trillion, nine hundred fifty-six billion, six hundred eight million, two hundred forty-two thousand, eight hundred sixty-four".