448928346746880 has 13312 divisors, whose sum is σ = 2495822915174400. Its totient is φ = 74300837068800.

The previous prime is 448928346746879. The next prime is 448928346746903. The reversal of 448928346746880 is 88647643829844.

448928346746880 is a `hidden beast` number, since 4 + 4 + 8 + 92 + 8 + 3 + 4 + 67 + 468 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (13312).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 448928346746880.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 14481559572465 + ... + 14481559572495.

Almost surely, 2^{448928346746880} is an apocalyptic number.

448928346746880 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 448928346746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247911457587200).

448928346746880 is an abundant number, since it is smaller than the sum of its proper divisors (2046894568427520).

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

448928346746880 is a wasteful number, since it uses less digits than its factorization.

448928346746880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 14269022208, while the sum is 81.

The spelling of 448928346746880 in words is "four hundred forty-eight trillion, nine hundred twenty-eight billion, three hundred forty-six million, seven hundred forty-six thousand, eight hundred eighty".