4681478144 has 208 divisors, whose sum is σ = 11574865920. Its totient is φ = 1849098240.

The previous prime is 4681478141. The next prime is 4681478147. The reversal of 4681478144 is 4418741864.

It is an interprime number because it is at equal distance from previous prime (4681478141) and next prime (4681478147).

It is a super-2 number, since 2×4681478144² = 43832475225499369472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4681478141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20443022 + ... + 20443250.

Almost surely, 2^4681478144 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 4681478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787432960).

4681478144 is an abundant number, since it is smaller than the sum of its proper divisors (6893387776).

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

4681478144 is a wasteful number, since it uses less digits than its factorization.

4681478144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 292 counting only the distinct ones).

The product of its digits is 688128, while the sum is 47.

The square root of 4681478144 is about 68421.3281367733. The cubic root of 4681478144 is about 1672.8654051936.

The spelling of 4681478144 in words is "four billion, six hundred eighty-one million, four hundred seventy-eight thousand, one hundred forty-four".