451993946296200 has 1536 divisors, whose sum is σ = 1812825971712000. Its totient is φ = 90433334476800.

The previous prime is 451993946296187. The next prime is 451993946296219. The reversal of 451993946296200 is 2692649399154.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 162063084406 + ... + 162063087194.

It is an arithmetic number, because the mean of its divisors is an integer number (1180225242000).

Almost surely, 2^{451993946296200} is an apocalyptic number.

451993946296200 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 451993946296200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906412985856000).

451993946296200 is an abundant number, since it is smaller than the sum of its proper divisors (1360832025415800).

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

451993946296200 is a wasteful number, since it uses less digits than its factorization.

451993946296200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3806 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 69.

The spelling of 451993946296200 in words is "four hundred fifty-one trillion, nine hundred ninety-three billion, nine hundred forty-six million, two hundred ninety-six thousand, two hundred".