48263748624 has 480 divisors, whose sum is σ = 176301216000. Its totient is φ = 11968819200.

The previous prime is 48263748613. The next prime is 48263748647. The reversal of 48263748624 is 42684736284.

48263748624 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 3 + 7 + 4 + 8 + 624 = 666.

48263748624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37096774 + ... + 37098074.

It is an arithmetic number, because the mean of its divisors is an integer number (367294200).

Almost surely, 2^48263748624 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 48263748624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88150608000).

48263748624 is an abundant number, since it is smaller than the sum of its proper divisors (128037467376).

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

48263748624 is a wasteful number, since it uses less digits than its factorization.

48263748624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1494 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 48263748624 in words is "forty-eight billion, two hundred sixty-three million, seven hundred forty-eight thousand, six hundred twenty-four".