4686955416 has 432 divisors, whose sum is σ = 15988878360. Its totient is φ = 1229230080.

The previous prime is 4686955411. The next prime is 4686955417. The reversal of 4686955416 is 6145596864.

4686955416 is a `hidden beast` number, since 4 + 6 + 8 + 6 + 95 + 541 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4686955411) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 48319080 + ... + 48319176.

Almost surely, 2^4686955416 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 4686955416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7994439180).

4686955416 is an abundant number, since it is smaller than the sum of its proper divisors (11301922944).

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

4686955416 is a wasteful number, since it uses less digits than its factorization.

4686955416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 145 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The square root of 4686955416 is about 68461.3424934101. The cubic root of 4686955416 is about 1673.5175615890.

The spelling of 4686955416 in words is "four billion, six hundred eighty-six million, nine hundred fifty-five thousand, four hundred sixteen".