73949188097 has 8 divisors (see below), whose sum is σ = 78326790696. Its totient is φ = 69574657792.

The previous prime is 73949188091. The next prime is 73949188133. The reversal of 73949188097 is 79088194937.

It is a Cunningham number, because it is equal to 271936²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 73949188096 = 1^2 + 271936^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73949188097 - 2⁴ = 73949188081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73949188091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 718418 + ... + 814875.

It is an arithmetic number, because the mean of its divisors is an integer number (9790848837).

Almost surely, 2^73949188097 is an apocalyptic number.

It is an amenable number.

73949188097 is a deficient number, since it is larger than the sum of its proper divisors (4377602599).

73949188097 is a wasteful number, since it uses less digits than its factorization.

73949188097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536147.

The product of its (nonzero) digits is 27433728, while the sum is 65.

The spelling of 73949188097 in words is "seventy-three billion, nine hundred forty-nine million, one hundred eighty-eight thousand, ninety-seven".