74555056513729 has 9 divisors (see below), whose sum is σ = 81949050815331. Its totient is φ = 67777237758120.

The previous prime is 74555056513723. The next prime is 74555056513753. The reversal of 74555056513729 is 92731565055547.

The square root of 74555056513729 is 8634527.

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., 44458289967025 + 30096766546704 = 6667705^2 + 5486052^2 .

It is not a de Polignac number, because 74555056513729 - 2⁷ = 74555056513601 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74555056513723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 94587319 + ... + 95372275.

Almost surely, 2^{74555056513729} is an apocalyptic number.

74555056513729 is the 8634527-th square number.

74555056513729 is the 4317264-th centered octagonal number.

It is an amenable number.

74555056513729 is a deficient number, since it is larger than the sum of its proper divisors (7393994301602).

74555056513729 is an frugal number, since it uses more digits than its factorization.

74555056513729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569936 (or 784968 counting only the distinct ones).

The product of its (nonzero) digits is 198450000, while the sum is 64.

The spelling of 74555056513729 in words is "seventy-four trillion, five hundred fifty-five billion, fifty-six million, five hundred thirteen thousand, seven hundred twenty-nine".