445871319552 has 400 divisors, whose sum is σ = 1421226892800. Its totient is φ = 138858209280.

The previous prime is 445871319541. The next prime is 445871319601. The reversal of 445871319552 is 255913178544.

445871319552 is a `hidden beast` number, since 4 + 4 + 5 + 8 + 71 + 3 + 19 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37277349 + ... + 37289307.

It is an arithmetic number, because the mean of its divisors is an integer number (3553067232).

Almost surely, 2^445871319552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445871319552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710613446400).

445871319552 is an abundant number, since it is smaller than the sum of its proper divisors (975355573248).

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

445871319552 is a wasteful number, since it uses less digits than its factorization.

445871319552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12049 (or 12024 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 445871319552 in words is "four hundred forty-five billion, eight hundred seventy-one million, three hundred nineteen thousand, five hundred fifty-two".