45461567782000 has 160 divisors (see below), whose sum is σ = 110760637740480. Its totient is φ = 18046849766400.

The previous prime is 45461567781977. The next prime is 45461567782019. The reversal of 45461567782000 is 28776516454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259590466 + ... + 259765534.

It is an arithmetic number, because the mean of its divisors is an integer number (692253985878).

Almost surely, 2^{45461567782000} is an apocalyptic number.

45461567782000 is a gapful number since it is divisible by the number (40) 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 45461567782000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55380318870240).

45461567782000 is an abundant number, since it is smaller than the sum of its proper divisors (65299069958480).

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

45461567782000 is a wasteful number, since it uses less digits than its factorization.

45461567782000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176076 (or 176060 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 55.

The spelling of 45461567782000 in words is "forty-five trillion, four hundred sixty-one billion, five hundred sixty-seven million, seven hundred eighty-two thousand".