456075134068008 has 1024 divisors, whose sum is σ = 1616789215641600. Its totient is φ = 103643683799040.

The previous prime is 456075134067979. The next prime is 456075134068117. The reversal of 456075134068008 is 800860431570654.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 15898306641 + ... + 15898335327.

It is an arithmetic number, because the mean of its divisors is an integer number (1578895718400).

Almost surely, 2^{456075134068008} 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 456075134068008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808394607820800).

456075134068008 is an abundant number, since it is smaller than the sum of its proper divisors (1160714081573592).

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

456075134068008 is a wasteful number, since it uses less digits than its factorization.

456075134068008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29510 (or 29506 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 57.

The spelling of 456075134068008 in words is "four hundred fifty-six trillion, seventy-five billion, one hundred thirty-four million, sixty-eight thousand, eight".