48724213824 has 784 divisors, whose sum is σ = 174435455040. Its totient is φ = 13302558720.

The previous prime is 48724213777. The next prime is 48724213841. The reversal of 48724213824 is 42831242784.

It is a self number, because there is not a number n which added to its sum of digits gives 48724213824.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 447011082 + ... + 447011190.

Almost surely, 2^48724213824 is an apocalyptic number.

48724213824 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 48724213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87217727520).

48724213824 is an abundant number, since it is smaller than the sum of its proper divisors (125711241216).

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

48724213824 is a wasteful number, since it uses less digits than its factorization.

48724213824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 205 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The spelling of 48724213824 in words is "forty-eight billion, seven hundred twenty-four million, two hundred thirteen thousand, eight hundred twenty-four".