74344000738100 has 72 divisors (see below), whose sum is σ = 163012848515160. Its totient is φ = 29426836561920.

The previous prime is 74344000738093. The next prime is 74344000738123. The reversal of 74344000738100 is 183700044347.

It can be written as a sum of positive squares in 12 ways, for example, as 24617415020836 + 49726585717264 = 4961594^2 + 7051708^2 .

It is a super-2 number, since 2×74344000738100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 68027192 + ... + 69111408.

Almost surely, 2^{74344000738100} 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 74344000738100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81506424257580).

74344000738100 is an abundant number, since it is smaller than the sum of its proper divisors (88668847777060).

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

74344000738100 is a wasteful number, since it uses less digits than its factorization.

74344000738100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091397 (or 1091390 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 74344000738100 in words is "seventy-four trillion, three hundred forty-four billion, seven hundred thirty-eight thousand, one hundred".