5414887296 has 576 divisors, whose sum is σ = 20062486080. Its totient is φ = 1388814336.

The previous prime is 5414887267. The next prime is 5414887301. The reversal of 5414887296 is 6927884145.

It is a happy number.

5414887296 is a `hidden beast` number, since 5 + 4 + 1 + 488 + 72 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34489650 + ... + 34489806.

It is an arithmetic number, because the mean of its divisors is an integer number (34830705).

Almost surely, 2^5414887296 is an apocalyptic number.

5414887296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5414887296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10031243040).

5414887296 is an abundant number, since it is smaller than the sum of its proper divisors (14647598784).

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

5414887296 is a wasteful number, since it uses less digits than its factorization.

5414887296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 229 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 5414887296 is about 73585.9177832281. The cubic root of 5414887296 is about 1756.0214123855.

The spelling of 5414887296 in words is "five billion, four hundred fourteen million, eight hundred eighty-seven thousand, two hundred ninety-six".