451347590467312 has 320 divisors, whose sum is σ = 1100308126629888. Its totient is φ = 174237033600000.

The previous prime is 451347590467211. The next prime is 451347590467339. The reversal of 451347590467312 is 213764095743154.

It is a congruent number.

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, 159093262758 + ... + 159093265594.

Almost surely, 2^{451347590467312} 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 451347590467312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550154063314944).

451347590467312 is an abundant number, since it is smaller than the sum of its proper divisors (648960536162576).

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

451347590467312 is a wasteful number, since it uses less digits than its factorization.

451347590467312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4908 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 61.

The spelling of 451347590467312 in words is "four hundred fifty-one trillion, three hundred forty-seven billion, five hundred ninety million, four hundred sixty-seven thousand, three hundred twelve".