7314406848 has 336 divisors, whose sum is σ = 24970516480. Its totient is φ = 2003097600.

The previous prime is 7314406843. The next prime is 7314406861. The reversal of 7314406848 is 8486044137.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7314406843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17373678 + ... + 17374098.

Almost surely, 2^7314406848 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 7314406848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12485258240).

7314406848 is an abundant number, since it is smaller than the sum of its proper divisors (17656109632).

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

7314406848 is a wasteful number, since it uses less digits than its factorization.

7314406848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 7314406848 is about 85524.3055978825. The cubic root of 7314406848 is about 1941.1527184156.

The spelling of 7314406848 in words is "seven billion, three hundred fourteen million, four hundred six thousand, eight hundred forty-eight".