74535444100 has 144 divisors (see below), whose sum is σ = 177730655760. Its totient is φ = 26966016000.

The previous prime is 74535444059. The next prime is 74535444107. The reversal of 74535444100 is 144453547.

It can be written as a sum of positive squares in 24 ways, for example, as 72895680064 + 1639764036 = 269992^2 + 40494^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 74535444100.

It is not an unprimeable number, because it can be changed into a prime (74535444107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13071250 + ... + 13076950.

It is an arithmetic number, because the mean of its divisors is an integer number (1234240665).

Almost surely, 2^74535444100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74535444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88865327880).

74535444100 is an abundant number, since it is smaller than the sum of its proper divisors (103195211660).

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

74535444100 is a wasteful number, since it uses less digits than its factorization.

74535444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930 (or 5923 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 37.

Adding to 74535444100 its reverse (144453547), we get a palindrome (74679897647).

The spelling of 74535444100 in words is "seventy-four billion, five hundred thirty-five million, four hundred forty-four thousand, one hundred".