445913233920000 has 3120 divisors, whose sum is σ = 2095068384763200. Its totient is φ = 92649553920000.

The previous prime is 445913233919929. The next prime is 445913233920001. The reversal of 445913233920000 is 29332319544.

445913233920000 is a `hidden beast` number, since 4 + 4 + 5 + 91 + 323 + 39 + 200 + 0 + 0 = 666.

It is a super-2 number, since 2×445913233920000² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (445913233920001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 37255674016 + ... + 37255685984.

Almost surely, 2^{445913233920000} is an apocalyptic number.

445913233920000 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 445913233920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047534192381600).

445913233920000 is an abundant number, since it is smaller than the sum of its proper divisors (1649155150843200).

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

445913233920000 is a wasteful number, since it uses less digits than its factorization.

445913233920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12047 (or 11997 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 445913233920000 in words is "four hundred forty-five trillion, nine hundred thirteen billion, two hundred thirty-three million, nine hundred twenty thousand".