8357146416 has 120 divisors (see below), whose sum is σ = 25841069280. Its totient is φ = 2507839488.

The previous prime is 8357146403. The next prime is 8357146417. The reversal of 8357146416 is 6146417538.

8357146416 is a `hidden beast` number, since 8 + 3 + 571 + 4 + 64 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (8357146417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17911 + ... + 130518.

It is an arithmetic number, because the mean of its divisors is an integer number (215342244).

Almost surely, 2^8357146416 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 8357146416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12920534640).

8357146416 is an abundant number, since it is smaller than the sum of its proper divisors (17483922864).

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

8357146416 is a wasteful number, since it uses less digits than its factorization.

8357146416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148483 (or 148474 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 8357146416 is about 91417.4294978808. The cubic root of 8357146416 is about 2029.3299750294.

The spelling of 8357146416 in words is "eight billion, three hundred fifty-seven million, one hundred forty-six thousand, four hundred sixteen".