4881510144 has 576 divisors, whose sum is σ = 17660160000. Its totient is φ = 1327656960.

The previous prime is 4881510131. The next prime is 4881510149. The reversal of 4881510144 is 4410151884.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4881510099 and 4881510108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4881510149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68753629 + ... + 68753699.

It is an arithmetic number, because the mean of its divisors is an integer number (30660000).

Almost surely, 2^4881510144 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 4881510144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8830080000).

4881510144 is an abundant number, since it is smaller than the sum of its proper divisors (12778649856).

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

4881510144 is an equidigital number, since it uses as much as digits as its factorization.

4881510144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 4881510144 is about 69867.8047744453. The cubic root of 4881510144 is about 1696.3601644021.

The spelling of 4881510144 in words is "four billion, eight hundred eighty-one million, five hundred ten thousand, one hundred forty-four".