4915617168 has 160 divisors (see below), whose sum is σ = 16092398592. Its totient is φ = 1255795200.

The previous prime is 4915617151. The next prime is 4915617191. The reversal of 4915617168 is 8617165194.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214555 + ... + 236357.

Almost surely, 2^4915617168 is an apocalyptic number.

4915617168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4915617168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8046199296).

4915617168 is an abundant number, since it is smaller than the sum of its proper divisors (11176781424).

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

4915617168 is a wasteful number, since it uses less digits than its factorization.

4915617168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21893 (or 21887 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The square root of 4915617168 is about 70111.4624580033. The cubic root of 4915617168 is about 1700.3018112357.

The spelling of 4915617168 in words is "four billion, nine hundred fifteen million, six hundred seventeen thousand, one hundred sixty-eight".