451678450608 has 1440 divisors, whose sum is σ = 1834526154240. Its totient is φ = 104001822720.

The previous prime is 451678450607. The next prime is 451678450621. The reversal of 451678450608 is 806054876154.

451678450608 is a `hidden beast` number, since 4 + 51 + 6 + 7 + 84 + 506 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (451678450607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2610858010 + ... + 2610858182.

It is an arithmetic number, because the mean of its divisors is an integer number (1273976496).

Almost surely, 2^451678450608 is an apocalyptic number.

451678450608 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 451678450608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917263077120).

451678450608 is an abundant number, since it is smaller than the sum of its proper divisors (1382847703632).

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

451678450608 is a wasteful number, since it uses less digits than its factorization.

451678450608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 451678450608 in words is "four hundred fifty-one billion, six hundred seventy-eight million, four hundred fifty thousand, six hundred eight".