73629588049 has 2 divisors, whose sum is σ = 73629588050. Its totient is φ = 73629588048.

The previous prime is 73629588023. The next prime is 73629588073. The reversal of 73629588049 is 94088592637.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64097580625 + 9532007424 = 253175^2 + 97632^2 .

It is a cyclic number.

It is not a de Polignac number, because 73629588049 - 2²¹ = 73627490897 is a prime.

It is not a weakly prime, because it can be changed into another prime (73629588089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36814794024 + 36814794025.

It is an arithmetic number, because the mean of its divisors is an integer number (36814794025).

Almost surely, 2^73629588049 is an apocalyptic number.

It is an amenable number.

73629588049 is a deficient number, since it is larger than the sum of its proper divisors (1).

73629588049 is an equidigital number, since it uses as much as digits as its factorization.

73629588049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 73629588049 in words is "seventy-three billion, six hundred twenty-nine million, five hundred eighty-eight thousand, forty-nine".