48063845288448 has 1080 divisors, whose sum is σ = 158608648021824. Its totient is φ = 14000532480000.

The previous prime is 48063845288441. The next prime is 48063845288461. The reversal of 48063845288448 is 84488254836084.

48063845288448 is a `hidden beast` number, since 4 + 8 + 0 + 63 + 8 + 45 + 2 + 88 + 448 = 666.

It is a super-3 number, since 3×48063845288448³ (a number of 42 digits) contains 333 as substring.

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 (48063845288441) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 145207991643 + ... + 145207991973.

Almost surely, 2^{48063845288448} is an apocalyptic number.

48063845288448 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 48063845288448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79304324010912).

48063845288448 is an abundant number, since it is smaller than the sum of its proper divisors (110544802733376).

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

48063845288448 is a wasteful number, since it uses less digits than its factorization.

48063845288448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 1509949440, while the sum is 72.

The spelling of 48063845288448 in words is "forty-eight trillion, sixty-three billion, eight hundred forty-five million, two hundred eighty-eight thousand, four hundred forty-eight".