4148674560 has 360 divisors, whose sum is σ = 15273616176. Its totient is φ = 1038090240.

The previous prime is 4148674553. The next prime is 4148674561. The reversal of 4148674560 is 654768414.

4148674560 is a `hidden beast` number, since 4 + 1 + 4 + 86 + 7 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148674561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12533595 + ... + 12533925.

Almost surely, 2^4148674560 is an apocalyptic number.

4148674560 is a gapful number since it is divisible by the number (40) 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 4148674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7636808088).

4148674560 is an abundant number, since it is smaller than the sum of its proper divisors (11124941616).

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

4148674560 is a wasteful number, since it uses less digits than its factorization.

4148674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4148674560 is about 64410.2054025602. The cubic root of 4148674560 is about 1606.8294741174.

The spelling of 4148674560 in words is "four billion, one hundred forty-eight million, six hundred seventy-four thousand, five hundred sixty".