849134016 has 280 divisors, whose sum is σ = 2732867280. Its totient is φ = 259780608.

The previous prime is 849133991. The next prime is 849134047. The reversal of 849134016 is 610431948.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3644236 + ... + 3644468.

Almost surely, 2^849134016 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 849134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366433640).

849134016 is an abundant number, since it is smaller than the sum of its proper divisors (1883733264).

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

849134016 is a wasteful number, since it uses less digits than its factorization.

849134016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 849134016 is about 29139.9041865274. The cubic root of 849134016 is about 946.9464340971.

The spelling of 849134016 in words is "eight hundred forty-nine million, one hundred thirty-four thousand, sixteen".