1451664516008 has 64 divisors (see below), whose sum is σ = 3179929536000. Its totient is φ = 608323253760.

The previous prime is 1451664516007. The next prime is 1451664516013. The reversal of 1451664516008 is 8006154661541.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (1451664516007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2498078 + ... + 3023858.

It is an arithmetic number, because the mean of its divisors is an integer number (49686399000).

Almost surely, 2^{1451664516008} 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 1451664516008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589964768000).

1451664516008 is an abundant number, since it is smaller than the sum of its proper divisors (1728265019992).

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

1451664516008 is a wasteful number, since it uses less digits than its factorization.

1451664516008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526890 (or 526886 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 1451664516008 in words is "one trillion, four hundred fifty-one billion, six hundred sixty-four million, five hundred sixteen thousand, eight".