48268853424 has 320 divisors, whose sum is σ = 153826344960. Its totient is φ = 14489798400.

The previous prime is 48268853401. The next prime is 48268853429. The reversal of 48268853424 is 42435886284.

48268853424 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 88 + 534 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48268853429) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73023654 + ... + 73024314.

It is an arithmetic number, because the mean of its divisors is an integer number (480707328).

Almost surely, 2^48268853424 is an apocalyptic number.

48268853424 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 48268853424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76913172480).

48268853424 is an abundant number, since it is smaller than the sum of its proper divisors (105557491536).

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

48268853424 is a wasteful number, since it uses less digits than its factorization.

48268853424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 804 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 54.

The spelling of 48268853424 in words is "forty-eight billion, two hundred sixty-eight million, eight hundred fifty-three thousand, four hundred twenty-four".