4148689860 has 576 divisors, whose sum is σ = 16630064640. Its totient is φ = 851558400.

The previous prime is 4148689847. The next prime is 4148689871. The reversal of 4148689860 is 689868414.

4148689860 is a `hidden beast` number, since 4 + 1 + 486 + 89 + 86 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4148689797 and 4148689806.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10345660 + ... + 10346060.

It is an arithmetic number, because the mean of its divisors is an integer number (28871640).

Almost surely, 2^4148689860 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 4148689860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8315032320).

4148689860 is an abundant number, since it is smaller than the sum of its proper divisors (12481374780).

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

4148689860 is a wasteful number, since it uses less digits than its factorization.

4148689860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 4148689860 is about 64410.3241724492. The cubic root of 4148689860 is about 1606.8314494037.

The spelling of 4148689860 in words is "four billion, one hundred forty-eight million, six hundred eighty-nine thousand, eight hundred sixty".