448945732872 has 512 divisors, whose sum is σ = 1596010214400. Its totient is φ = 115188065280.

The previous prime is 448945732871. The next prime is 448945732901. The reversal of 448945732872 is 278237549844.

It is a happy number.

448945732872 is a `hidden beast` number, since 4 + 4 + 89 + 457 + 32 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (448945732871) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58905222 + ... + 58912842.

It is an arithmetic number, because the mean of its divisors is an integer number (3117207450).

Almost surely, 2^448945732872 is an apocalyptic number.

448945732872 is a gapful number since it is divisible by the number (42) 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 448945732872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798005107200).

448945732872 is an abundant number, since it is smaller than the sum of its proper divisors (1147064481528).

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

448945732872 is a wasteful number, since it uses less digits than its factorization.

448945732872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7705 (or 7683 counting only the distinct ones).

The product of its digits is 108380160, while the sum is 63.

The spelling of 448945732872 in words is "four hundred forty-eight billion, nine hundred forty-five million, seven hundred thirty-two thousand, eight hundred seventy-two".