445151223224000 has 224 divisors, whose sum is σ = 1167360023456640. Its totient is φ = 167572709376000.

The previous prime is 445151223223961. The next prime is 445151223224077. The reversal of 445151223224000 is 422322151544.

It is a super-2 number, since 2×445151223224000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1756857320 + ... + 1757110680.

Almost surely, 2^{445151223224000} is an apocalyptic number.

445151223224000 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 445151223224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583680011728320).

445151223224000 is an abundant number, since it is smaller than the sum of its proper divisors (722208800232640).

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

445151223224000 is a wasteful number, since it uses less digits than its factorization.

445151223224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266324 (or 266304 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 445151223224000 its reverse (422322151544), we get a palindrome (445573545375544).

The spelling of 445151223224000 in words is "four hundred forty-five trillion, one hundred fifty-one billion, two hundred twenty-three million, two hundred twenty-four thousand".