48015024088448 has 64 divisors (see below), whose sum is σ = 99842162353920. Its totient is φ = 22957191375360.

The previous prime is 48015024088393. The next prime is 48015024088457. The reversal of 48015024088448 is 84488042051084.

48015024088448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 48015024088393 and 48015024088402.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8071403 + ... + 12695573.

It is an arithmetic number, because the mean of its divisors is an integer number (1560033786780).

Almost surely, 2^{48015024088448} 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 48015024088448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49921081176960).

48015024088448 is an abundant number, since it is smaller than the sum of its proper divisors (51827138265472).

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

48015024088448 is a wasteful number, since it uses less digits than its factorization.

48015024088448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627735 (or 4627723 counting only the distinct ones).

The product of its (nonzero) digits is 10485760, while the sum is 56.

The spelling of 48015024088448 in words is "forty-eight trillion, fifteen billion, twenty-four million, eighty-eight thousand, four hundred forty-eight".