4918892160 has 512 divisors, whose sum is σ = 19740672000. Its totient is φ = 1014054912.

The previous prime is 4918892137. The next prime is 4918892161. The reversal of 4918892160 is 612988194.

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

It is not an unprimeable number, because it can be changed into a prime (4918892161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8211541 + ... + 8212139.

It is an arithmetic number, because the mean of its divisors is an integer number (38556000).

Almost surely, 2^4918892160 is an apocalyptic number.

4918892160 is a gapful number since it is divisible by the number (40) 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 4918892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870336000).

4918892160 is an abundant number, since it is smaller than the sum of its proper divisors (14821779840).

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

4918892160 is a wasteful number, since it uses less digits than its factorization.

4918892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The square root of 4918892160 is about 70134.8141795499. The cubic root of 4918892160 is about 1700.6793317277.

The spelling of 4918892160 in words is "four billion, nine hundred eighteen million, eight hundred ninety-two thousand, one hundred sixty".