5017156416 has 448 divisors, whose sum is σ = 16788384000. Its totient is φ = 1459814400.

The previous prime is 5017156409. The next prime is 5017156427. The reversal of 5017156416 is 6146517105.

It is a happy number.

5017156416 is a `hidden beast` number, since 5 + 0 + 1 + 7 + 1 + 5 + 641 + 6 = 666.

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 63 ways as a sum of consecutive naturals, for example, 49674766 + ... + 49674866.

Almost surely, 2^5017156416 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 5017156416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8394192000).

5017156416 is an abundant number, since it is smaller than the sum of its proper divisors (11771227584).

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

5017156416 is a wasteful number, since it uses less digits than its factorization.

5017156416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5017156416 is about 70831.8884119293. Note that the first 3 decimals coincide. The cubic root of 5017156416 is about 1711.9295178716.

The spelling of 5017156416 in words is "five billion, seventeen million, one hundred fifty-six thousand, four hundred sixteen".