445783639817880 has 1024 divisors, whose sum is σ = 1987212165120000. Its totient is φ = 86230791198720.

The previous prime is 445783639817863. The next prime is 445783639817881. The reversal of 445783639817880 is 88718936387544.

445783639817880 is a `hidden beast` number, since 4 + 4 + 5 + 7 + 8 + 363 + 9 + 8 + 178 + 80 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 445783639817880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445783639817881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 54036451 + ... + 61737389.

It is an arithmetic number, because the mean of its divisors is an integer number (1940636880000).

Almost surely, 2^{445783639817880} is an apocalyptic number.

445783639817880 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 445783639817880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993606082560000).

445783639817880 is an abundant number, since it is smaller than the sum of its proper divisors (1541428525302120).

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

445783639817880 is a wasteful number, since it uses less digits than its factorization.

445783639817880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7701029 (or 7701019 counting only the distinct ones).

The product of its (nonzero) digits is 7803371520, while the sum is 81.

It can be divided in two parts, 4457836 and 39817880, that added together give a square (44275716 = 6654²).

The spelling of 445783639817880 in words is "four hundred forty-five trillion, seven hundred eighty-three billion, six hundred thirty-nine million, eight hundred seventeen thousand, eight hundred eighty".