73093988881 has 9 divisors (see below), whose sum is σ = 75133176699. Its totient is φ = 71108742744.

The previous prime is 73093988839. The next prime is 73093988909. The reversal of 73093988881 is 18888939037.

The square root of 73093988881 is 270359.

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

It can be written as a sum of positive squares in only one way, i.e., 65405505025 + 7688483856 = 255745^2 + 87684^2 .

It is not a de Polignac number, because 73093988881 - 2⁹ = 73093988369 is a prime.

It is a super-2 number, since 2×73093988881² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73093988081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9999630 + ... + 10006936.

Almost surely, 2^73093988881 is an apocalyptic number.

73093988881 is the 270359-th square number.

73093988881 is the 135180-th centered octagonal number.

It is an amenable number.

73093988881 is a deficient number, since it is larger than the sum of its proper divisors (2039187818).

73093988881 is an frugal number, since it uses more digits than its factorization.

73093988881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14688 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 64.

Multiplying 73093988881 by its sum of digits (64), we get a square (4678015288384 = 2162872²).

The spelling of 73093988881 in words is "seventy-three billion, ninety-three million, nine hundred eighty-eight thousand, eight hundred eighty-one".