744134356992 has 208 divisors, whose sum is σ = 2139431535360. Its totient is φ = 228676141056.

The previous prime is 744134356969. The next prime is 744134356993. The reversal of 744134356992 is 299653431447.

It is a tau number, because it is divible by the number of its divisors (208).

It is not an unprimeable number, because it can be changed into a prime (744134356993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151275109 + ... + 151280027.

Almost surely, 2^744134356992 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 744134356992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069715767680).

744134356992 is an abundant number, since it is smaller than the sum of its proper divisors (1395297178368).

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

744134356992 is a wasteful number, since it uses less digits than its factorization.

744134356992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5884 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 57.

The spelling of 744134356992 in words is "seven hundred forty-four billion, one hundred thirty-four million, three hundred fifty-six thousand, nine hundred ninety-two".