201941485641 has 75 divisors (see below), whose sum is σ = 352268047901. Its totient is φ = 115281891144.

The previous prime is 201941485621. The next prime is 201941485643. The reversal of 201941485641 is 146584149102.

The square root of 201941485641 is 449379.

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

201941485641 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 41 + 48 + 564 + 1 = 666.

It is not a de Polignac number, because 201941485641 - 2⁷ = 201941485513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201941485643) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 198175630 + ... + 198176648.

Almost surely, 2^201941485641 is an apocalyptic number.

201941485641 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201941485641 is the 449379-th square number.

201941485641 is the 224690-th centered octagonal number.

It is an amenable number.

201941485641 is a deficient number, since it is larger than the sum of its proper divisors (150326562260).

201941485641 is an frugal number, since it uses more digits than its factorization.

201941485641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 201941485641 in words is "two hundred one billion, nine hundred forty-one million, four hundred eighty-five thousand, six hundred forty-one".