45794416780000 has 480 divisors, whose sum is σ = 136795755096000. Its totient is φ = 14749765632000.

The previous prime is 45794416779997. The next prime is 45794416780027. The reversal of 45794416780000 is 8761449754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 150067576 + ... + 150372424.

It is an arithmetic number, because the mean of its divisors is an integer number (284991156450).

Almost surely, 2^{45794416780000} is an apocalyptic number.

45794416780000 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 45794416780000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68397877548000).

45794416780000 is an abundant number, since it is smaller than the sum of its proper divisors (91001338316000).

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

45794416780000 is a wasteful number, since it uses less digits than its factorization.

45794416780000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304952 (or 304929 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 45794416780000 in words is "forty-five trillion, seven hundred ninety-four billion, four hundred sixteen million, seven hundred eighty thousand".