5338916352 has 480 divisors, whose sum is σ = 19732737024. Its totient is φ = 1349222400.

The previous prime is 5338916339. The next prime is 5338916399. The reversal of 5338916352 is 2536198335.

It is a happy number.

5338916352 is a `hidden beast` number, since 5 + 3 + 3 + 8 + 9 + 1 + 635 + 2 = 666.

Its product of digits (583200) is a multiple of the sum of its prime factors (450).

It is a junction number, because it is equal to n+sod(n) for n = 5338916298 and 5338916307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14547273 + ... + 14547639.

Almost surely, 2^5338916352 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 5338916352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9866368512).

5338916352 is an abundant number, since it is smaller than the sum of its proper divisors (14393820672).

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

5338916352 is a wasteful number, since it uses less digits than its factorization.

5338916352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 431 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 5338916352 is about 73067.8886515821. Note that the first 3 decimals coincide. The cubic root of 5338916352 is about 1747.7703688703.

The spelling of 5338916352 in words is "five billion, three hundred thirty-eight million, nine hundred sixteen thousand, three hundred fifty-two".