48447368544960 has 3024 divisors, whose sum is σ = 222623831559168. Its totient is φ = 9551698329600.

The previous prime is 48447368544919. The next prime is 48447368544997. The reversal of 48447368544960 is 6944586374484.

48447368544960 is a `hidden beast` number, since 4 + 8 + 4 + 4 + 73 + 6 + 8 + 544 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 452779145227 + ... + 452779145333.

Almost surely, 2^{48447368544960} is an apocalyptic number.

48447368544960 is a gapful number since it is divisible by the number (40) 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 48447368544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111311915779584).

48447368544960 is an abundant number, since it is smaller than the sum of its proper divisors (174176463014208).

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

48447368544960 is a wasteful number, since it uses less digits than its factorization.

48447368544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2229534720, while the sum is 72.

The spelling of 48447368544960 in words is "forty-eight trillion, four hundred forty-seven billion, three hundred sixty-eight million, five hundred forty-four thousand, nine hundred sixty".