48025596357648 has 800 divisors, whose sum is σ = 180239643091200. Its totient is φ = 11988884017152.

The previous prime is 48025596357631. The next prime is 48025596357649. The reversal of 48025596357648 is 84675369552084.

48025596357648 is a `hidden beast` number, since 4 + 8 + 0 + 2 + 5 + 5 + 9 + 6 + 3 + 576 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (48025596357649) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2718062158 + ... + 2718079826.

It is an arithmetic number, because the mean of its divisors is an integer number (225299553864).

Almost surely, 2^{48025596357648} is an apocalyptic number.

48025596357648 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 48025596357648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90119821545600).

48025596357648 is an abundant number, since it is smaller than the sum of its proper divisors (132214046733552).

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

48025596357648 is a wasteful number, since it uses less digits than its factorization.

48025596357648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18941 (or 18926 counting only the distinct ones).

The product of its (nonzero) digits is 1741824000, while the sum is 72.

The spelling of 48025596357648 in words is "forty-eight trillion, twenty-five billion, five hundred ninety-six million, three hundred fifty-seven thousand, six hundred forty-eight".