74601016547344 has 135 divisors (see below), whose sum is σ = 168793833747357. Its totient is φ = 31847592373632.

The previous prime is 74601016547341. The next prime is 74601016547347. The reversal of 74601016547344 is 44374561010647.

The square root of 74601016547344 is 8637188.

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

It is an interprime number because it is at equal distance from previous prime (74601016547341) and next prime (74601016547347).

It can be written as a sum of positive squares in only one way, i.e., 40550150410000 + 34050866137344 = 6367900^2 + 5835312^2 .

It is a junction number, because it is equal to n+sod(n) for n = 74601016547291 and 74601016547300.

It is not an unprimeable number, because it can be changed into a prime (74601016547341) 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, 90206791059 + ... + 90206791885.

Almost surely, 2^{74601016547344} is an apocalyptic number.

74601016547344 is the 8637188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74601016547344

74601016547344 is an abundant number, since it is smaller than the sum of its proper divisors (94192817200013).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

74601016547344 is an frugal number, since it uses more digits than its factorization.

74601016547344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 74601016547344 in words is "seventy-four trillion, six hundred one billion, sixteen million, five hundred forty-seven thousand, three hundred forty-four".