45146701316808 has 384 divisors, whose sum is σ = 155584039403520. Its totient is φ = 11504888317440.

The previous prime is 45146701316771. The next prime is 45146701316809. The reversal of 45146701316808 is 80861310764154.

45146701316808 is a `hidden beast` number, since 4 + 5 + 1 + 467 + 0 + 13 + 168 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (45146701316809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131241691 + ... + 131585237.

It is an arithmetic number, because the mean of its divisors is an integer number (405166769280).

Almost surely, 2^{45146701316808} 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 45146701316808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77792019701760).

45146701316808 is an abundant number, since it is smaller than the sum of its proper divisors (110437338086712).

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

45146701316808 is a wasteful number, since it uses less digits than its factorization.

45146701316808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344257 (or 344250 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 45146701316808 in words is "forty-five trillion, one hundred forty-six billion, seven hundred one million, three hundred sixteen thousand, eight hundred eight".