743321850138 has 256 divisors, whose sum is σ = 2066659246080. Its totient is φ = 193124736000.

The previous prime is 743321850133. The next prime is 743321850149. The reversal of 743321850138 is 831058123347.

743321850138 is a `hidden beast` number, since 7 + 4 + 332 + 185 + 0 + 138 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 743321850093 and 743321850102.

It is not an unprimeable number, because it can be changed into a prime (743321850133) 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 127 ways as a sum of consecutive naturals, for example, 139640745 + ... + 139646067.

It is an arithmetic number, because the mean of its divisors is an integer number (8072887680).

Almost surely, 2^743321850138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 743321850138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033329623040).

743321850138 is an abundant number, since it is smaller than the sum of its proper divisors (1323337395942).

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

743321850138 is a wasteful number, since it uses less digits than its factorization.

743321850138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6090 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 743321850138 in words is "seven hundred forty-three billion, three hundred twenty-one million, eight hundred fifty thousand, one hundred thirty-eight".