48268246224 has 80 divisors (see below), whose sum is σ = 136202711040. Its totient is φ = 14608030080.

The previous prime is 48268246219. The next prime is 48268246249. The reversal of 48268246224 is 42264286284.

48268246224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357457 + ... + 473615.

It is an arithmetic number, because the mean of its divisors is an integer number (1702533888).

Almost surely, 2^48268246224 is an apocalyptic number.

48268246224 is a gapful number since it is divisible by the number (44) 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 48268246224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68101355520).

48268246224 is an abundant number, since it is smaller than the sum of its proper divisors (87934464816).

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

48268246224 is a wasteful number, since it uses less digits than its factorization.

48268246224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116968 (or 116962 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 48.

It can be divided in two parts, 482682 and 46224, that added together give a triangular number (528906 = T₁₀₂₈).

The spelling of 48268246224 in words is "forty-eight billion, two hundred sixty-eight million, two hundred forty-six thousand, two hundred twenty-four".