48478775424 has 256 divisors, whose sum is σ = 144155376000. Its totient is φ = 14345109504.

The previous prime is 48478775417. The next prime is 48478775431. The reversal of 48478775424 is 42457787484.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48478775417) and next prime (48478775431).

It is a super-2 number, since 2×48478775424² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33363882 + ... + 33365334.

Almost surely, 2^48478775424 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 48478775424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72077688000).

48478775424 is an abundant number, since it is smaller than the sum of its proper divisors (95676600576).

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

48478775424 is a wasteful number, since it uses less digits than its factorization.

48478775424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1763 counting only the distinct ones).

The product of its digits is 56197120, while the sum is 60.

It can be divided in two parts, 484787 and 75424, that added together give a triangular number (560211 = T₁₀₅₈).

The spelling of 48478775424 in words is "forty-eight billion, four hundred seventy-eight million, seven hundred seventy-five thousand, four hundred twenty-four".