7133314944 has 384 divisors, whose sum is σ = 23509025280. Its totient is φ = 1906544640.

The previous prime is 7133314907. The next prime is 7133314949. The reversal of 7133314944 is 4494133317.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7133314949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22936549 + ... + 22936859.

It is an arithmetic number, because the mean of its divisors is an integer number (61221420).

Almost surely, 2^7133314944 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 7133314944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11754512640).

7133314944 is an abundant number, since it is smaller than the sum of its proper divisors (16375710336).

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

7133314944 is a wasteful number, since it uses less digits than its factorization.

7133314944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 7133314944 is about 84458.9541966984. The cubic root of 7133314944 is about 1924.9988143243.

The spelling of 7133314944 in words is "seven billion, one hundred thirty-three million, three hundred fourteen thousand, nine hundred forty-four".