203968753641 has 63 divisors (see below), whose sum is σ = 313897492839. Its totient is φ = 132475431312.

The previous prime is 203968753561. The next prime is 203968753657. The reversal of 203968753641 is 146357869302.

The square root of 203968753641 is 451629.

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

203968753641 is a `hidden beast` number, since 2 + 0 + 3 + 9 + 68 + 7 + 536 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 48149086041 + 155819667600 = 219429^2 + 394740^2 .

It is a de Polignac number, because none of the positive numbers 2^k-203968753641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (203968753141) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 524341075 + ... + 524341463.

It is a 1-persistent number, because it is pandigital, but 2⋅203968753641 = 407937507282 is not.

Almost surely, 2^203968753641 is an apocalyptic number.

203968753641 is the 451629-th square number.

203968753641 is the 225815-th centered octagonal number.

It is an amenable number.

203968753641 is a deficient number, since it is larger than the sum of its proper divisors (109928739198).

203968753641 is an frugal number, since it uses more digits than its factorization.

203968753641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 203968753641 in words is "two hundred three billion, nine hundred sixty-eight million, seven hundred fifty-three thousand, six hundred forty-one".