4532008968961 has 16 divisors (see below), whose sum is σ = 4646488831488. Its totient is φ = 4417718659200.

The previous prime is 4532008968901. The next prime is 4532008968997. The reversal of 4532008968961 is 1698698002354.

It is a cyclic number.

It is not a de Polignac number, because 4532008968961 - 2¹⁹ = 4532008444673 is a prime.

It is a super-2 number, since 2×4532008968961² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4532008968961.

It is not an unprimeable number, because it can be changed into a prime (4532008968901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262063231 + ... + 262080523.

It is an arithmetic number, because the mean of its divisors is an integer number (290405551968).

Almost surely, 2^{4532008968961} is an apocalyptic number.

4532008968961 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4532008968961 is a deficient number, since it is larger than the sum of its proper divisors (114479862527).

4532008968961 is a wasteful number, since it uses less digits than its factorization.

4532008968961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22392.

The product of its (nonzero) digits is 22394880, while the sum is 61.

The spelling of 4532008968961 in words is "four trillion, five hundred thirty-two billion, eight million, nine hundred sixty-eight thousand, nine hundred sixty-one".