451016431221312 has 504 divisors, whose sum is σ = 1550591951631840. Its totient is φ = 128632114851840.

The previous prime is 451016431221281. The next prime is 451016431221319. The reversal of 451016431221312 is 213122134610154.

451016431221312 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 1 + 6 + 4 + 312 + 21 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (451016431221319) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 75650139 + ... + 81393957.

Almost surely, 2^{451016431221312} 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 451016431221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775295975815920).

451016431221312 is an abundant number, since it is smaller than the sum of its proper divisors (1099575520410528).

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

451016431221312 is an equidigital number, since it uses as much as digits as its factorization.

451016431221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5743883 (or 5743852 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 451016431221312 its reverse (213122134610154), we get a palindrome (664138565831466).

The spelling of 451016431221312 in words is "four hundred fifty-one trillion, sixteen billion, four hundred thirty-one million, two hundred twenty-one thousand, three hundred twelve".