849916465416 has 128 divisors (see below), whose sum is σ = 2372383728000. Its totient is φ = 281926370304.

The previous prime is 849916465403. The next prime is 849916465429. The reversal of 849916465416 is 614564619948.

It is a happy number.

849916465416 is a `hidden beast` number, since 8 + 49 + 9 + 1 + 6 + 46 + 541 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (849916465403) and next prime (849916465429).

It is a super-3 number, since 3×849916465416³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112881940 + ... + 112889468.

It is an arithmetic number, because the mean of its divisors is an integer number (18534247875).

Almost surely, 2^849916465416 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 849916465416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186191864000).

849916465416 is an abundant number, since it is smaller than the sum of its proper divisors (1522467262584).

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

849916465416 is a wasteful number, since it uses less digits than its factorization.

849916465416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10020 (or 10010 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 63.

The spelling of 849916465416 in words is "eight hundred forty-nine billion, nine hundred sixteen million, four hundred sixty-five thousand, four hundred sixteen".