4457316096 has 324 divisors, whose sum is σ = 14214000528. Its totient is φ = 1340596224.

The previous prime is 4457316091. The next prime is 4457316103. The reversal of 4457316096 is 6906137544.

4457316096 is a `hidden beast` number, since 4 + 4 + 5 + 7 + 31 + 609 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4457316091) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19129996 + ... + 19130228.

It is an arithmetic number, because the mean of its divisors is an integer number (43870372).

Almost surely, 2^4457316096 is an apocalyptic number.

4457316096 is a gapful number since it is divisible by the number (46) 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 4457316096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7107000264).

4457316096 is an abundant number, since it is smaller than the sum of its proper divisors (9756684432).

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

4457316096 is a wasteful number, since it uses less digits than its factorization.

4457316096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 4457316096 is about 66763.1342583615. The cubic root of 4457316096 is about 1645.7270642196.

The spelling of 4457316096 in words is "four billion, four hundred fifty-seven million, three hundred sixteen thousand, ninety-six".