45808610644608 has 384 divisors, whose sum is σ = 146197411430400. Its totient is φ = 12658491095040.

The previous prime is 45808610644561. The next prime is 45808610644619. The reversal of 45808610644608 is 80644601680854.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1025995341 + ... + 1026039987.

It is an arithmetic number, because the mean of its divisors is an integer number (380722425600).

Almost surely, 2^{45808610644608} is an apocalyptic number.

45808610644608 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 45808610644608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73098705715200).

45808610644608 is an abundant number, since it is smaller than the sum of its proper divisors (100388800785792).

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

45808610644608 is a wasteful number, since it uses less digits than its factorization.

45808610644608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46468 (or 46449 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 60.

The spelling of 45808610644608 in words is "forty-five trillion, eight hundred eight billion, six hundred ten million, six hundred forty-four thousand, six hundred eight".