73748635489 has 9 divisors (see below), whose sum is σ = 77839878483. Its totient is φ = 69862240152.

The previous prime is 73748635481. The next prime is 73748635511. The reversal of 73748635489 is 98453684737.

The square root of 73748635489 is 271567.

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., 257763025 + 73490872464 = 16055^2 + 271092^2 .

It is not a de Polignac number, because 73748635489 - 2³ = 73748635481 is a prime.

It is a super-2 number, since 2×73748635489² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73748635489.

It is not an unprimeable number, because it can be changed into a prime (73748635481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5152627 + ... + 5166919.

It is an arithmetic number, because the mean of its divisors is an integer number (8648875387).

Almost surely, 2^73748635489 is an apocalyptic number.

73748635489 is the 271567-th square number.

73748635489 is the 135784-th centered octagonal number.

It is an amenable number.

73748635489 is a deficient number, since it is larger than the sum of its proper divisors (4091242994).

73748635489 is an frugal number, since it uses more digits than its factorization.

73748635489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28624 (or 14312 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 64.

Multiplying 73748635489 by its sum of digits (64), we get a square (4719912671296 = 2172536²).

The spelling of 73748635489 in words is "seventy-three billion, seven hundred forty-eight million, six hundred thirty-five thousand, four hundred eighty-nine".