48313750614528 has 320 divisors, whose sum is σ = 157021015726080. Its totient is φ = 12893213491200.

The previous prime is 48313750614499. The next prime is 48313750614533. The reversal of 48313750614528 is 82541605731384.

It is a happy number.

48313750614528 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 (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12838968 + ... + 16169928.

It is an arithmetic number, because the mean of its divisors is an integer number (490690674144).

Almost surely, 2^{48313750614528} is an apocalyptic number.

48313750614528 is a gapful number since it is divisible by the number (48) 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 48313750614528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78510507863040).

48313750614528 is an abundant number, since it is smaller than the sum of its proper divisors (108707265111552).

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

48313750614528 is a wasteful number, since it uses less digits than its factorization.

48313750614528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331079 (or 3331063 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 48313750614528 in words is "forty-eight trillion, three hundred thirteen billion, seven hundred fifty million, six hundred fourteen thousand, five hundred twenty-eight".