81737493092641 has 27 divisors (see below), whose sum is σ = 84253586144241. Its totient is φ = 79295524552104.

The previous prime is 81737493092611. The next prime is 81737493092657. The reversal of 81737493092641 is 14629039473718.

The square root of 81737493092641 is 9040879.

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

It is not a de Polignac number, because 81737493092641 - 2⁷ = 81737493092513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (81737493092611) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64922551470 + ... + 64922552728.

Almost surely, 2^{81737493092641} is an apocalyptic number.

81737493092641 is the 9040879-th square number.

81737493092641 is the 4520440-th centered octagonal number.

It is an amenable number.

81737493092641 is a deficient number, since it is larger than the sum of its proper divisors (2516093051600).

81737493092641 is an frugal number, since it uses more digits than its factorization.

81737493092641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 64.

The spelling of 81737493092641 in words is "eighty-one trillion, seven hundred thirty-seven billion, four hundred ninety-three million, ninety-two thousand, six hundred forty-one".