738164361344 has 64 divisors (see below), whose sum is σ = 1495137281280. Its totient is φ = 362918016000.

The previous prime is 738164361331. The next prime is 738164361371. The reversal of 738164361344 is 443163461837.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 738164361292 and 738164361301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28431569 + ... + 28457519.

It is an arithmetic number, because the mean of its divisors is an integer number (23361520020).

Almost surely, 2^738164361344 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 738164361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747568640640).

738164361344 is an abundant number, since it is smaller than the sum of its proper divisors (756972919936).

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

738164361344 is a wasteful number, since it uses less digits than its factorization.

738164361344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29669 (or 29657 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 50.

The spelling of 738164361344 in words is "seven hundred thirty-eight billion, one hundred sixty-four million, three hundred sixty-one thousand, three hundred forty-four".