4145506848 has 576 divisors, whose sum is σ = 15256200960. Its totient is φ = 1040449536.

The previous prime is 4145506847. The next prime is 4145506861. The reversal of 4145506848 is 8486055414.

It is a happy number.

4145506848 is a `hidden beast` number, since 4 + 14 + 550 + 6 + 84 + 8 = 666.

4145506848 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4145506847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42737136 + ... + 42737232.

It is an arithmetic number, because the mean of its divisors is an integer number (26486460).

Almost surely, 2^4145506848 is an apocalyptic number.

4145506848 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 4145506848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628100480).

4145506848 is an abundant number, since it is smaller than the sum of its proper divisors (11110694112).

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

4145506848 is a wasteful number, since it uses less digits than its factorization.

4145506848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 4145506848 is about 64385.6105663369. The cubic root of 4145506848 is about 1606.4204061960.

The spelling of 4145506848 in words is "four billion, one hundred forty-five million, five hundred six thousand, eight hundred forty-eight".