451506445488 has 720 divisors, whose sum is σ = 1578382810368. Its totient is φ = 122360025600.

The previous prime is 451506445447. The next prime is 451506445513. The reversal of 451506445488 is 884544605154.

451506445488 is a `hidden beast` number, since 4 + 5 + 1 + 50 + 6 + 44 + 548 + 8 = 666.

451506445488 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1595428995 + ... + 1595429277.

Almost surely, 2^451506445488 is an apocalyptic number.

451506445488 is a gapful number since it is divisible by the number (48) 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 451506445488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789191405184).

451506445488 is an abundant number, since it is smaller than the sum of its proper divisors (1126876364880).

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

451506445488 is a wasteful number, since it uses less digits than its factorization.

451506445488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 451506445488 in words is "four hundred fifty-one billion, five hundred six million, four hundred forty-five thousand, four hundred eighty-eight".