4145648976 has 240 divisors, whose sum is σ = 13707622656. Its totient is φ = 1145124864.

The previous prime is 4145648921. The next prime is 4145648987. The reversal of 4145648976 is 6798465414.

4145648976 is a `hidden beast` number, since 4 + 1 + 4 + 564 + 8 + 9 + 76 = 666.

4145648976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3899421 + ... + 3900483.

Almost surely, 2^4145648976 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 4145648976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6853811328).

4145648976 is an abundant number, since it is smaller than the sum of its proper divisors (9561973680).

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

4145648976 is a wasteful number, since it uses less digits than its factorization.

4145648976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1201 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 4145648976 is about 64386.7142817523. The cubic root of 4145648976 is about 1606.4387646033.

The spelling of 4145648976 in words is "four billion, one hundred forty-five million, six hundred forty-eight thousand, nine hundred seventy-six".