4451542221456 has 360 divisors, whose sum is σ = 14658964599552. Its totient is φ = 1305433324800.

The previous prime is 4451542221449. The next prime is 4451542221461. The reversal of 4451542221456 is 6541222451544.

4451542221456 is a `hidden beast` number, since 4 + 4 + 5 + 1 + 5 + 422 + 214 + 5 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14431270 + ... + 14736506.

Almost surely, 2^{4451542221456} 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 4451542221456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7329482299776).

4451542221456 is an abundant number, since it is smaller than the sum of its proper divisors (10207422378096).

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

4451542221456 is a wasteful number, since it uses less digits than its factorization.

4451542221456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305313 (or 305284 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 45.

The spelling of 4451542221456 in words is "four trillion, four hundred fifty-one billion, five hundred forty-two million, two hundred twenty-one thousand, four hundred fifty-six".