445974153248 has 384 divisors, whose sum is σ = 1058657402880. Its totient is φ = 183170211840.

The previous prime is 445974153239. The next prime is 445974153259. The reversal of 445974153248 is 842351479544.

It is a super-3 number, since 3×445974153248³ (a number of 36 digits) contains 333 as substring.

Its product of digits (19353600) is a multiple of the sum of its prime factors (672).

It is a junction number, because it is equal to n+sod(n) for n = 445974153193 and 445974153202.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 931052273 + ... + 931052751.

It is an arithmetic number, because the mean of its divisors is an integer number (2756920320).

Almost surely, 2^445974153248 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 445974153248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529328701440).

445974153248 is an abundant number, since it is smaller than the sum of its proper divisors (612683249632).

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

445974153248 is a wasteful number, since it uses less digits than its factorization.

445974153248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 56.

The spelling of 445974153248 in words is "four hundred forty-five billion, nine hundred seventy-four million, one hundred fifty-three thousand, two hundred forty-eight".