968002144641 has 225 divisors, whose sum is σ = 1781833436691. Its totient is φ = 523639759104.

The previous prime is 968002144631. The next prime is 968002144691. The reversal of 968002144641 is 146441200869.

The square root of 968002144641 is 983871.

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

968002144641 is a `hidden beast` number, since 96 + 80 + 0 + 2 + 1 + 446 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 434669897025 + 533332247616 = 659295^2 + 730296^2 .

It is not a de Polignac number, because 968002144641 - 2⁵ = 968002144609 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (968002144621) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 9979403505 + ... + 9979403601.

Almost surely, 2^968002144641 is an apocalyptic number.

968002144641 is the 983871-st square number.

968002144641 is the 491936-th centered octagonal number.

It is an amenable number.

968002144641 is a deficient number, since it is larger than the sum of its proper divisors (813831292050).

968002144641 is an frugal number, since it uses more digits than its factorization.

968002144641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 968002144641 in words is "nine hundred sixty-eight billion, two million, one hundred forty-four thousand, six hundred forty-one".