45491001007056 has 320 divisors, whose sum is σ = 132338809774080. Its totient is φ = 13346912747520.

The previous prime is 45491001007051. The next prime is 45491001007261. The reversal of 45491001007056 is 65070010019454.

It is a junction number, because it is equal to n+sod(n) for n = 45491001006999 and 45491001007017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45491001007051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2589267840 + ... + 2589285408.

It is an arithmetic number, because the mean of its divisors is an integer number (413558780544).

Almost surely, 2^{45491001007056} 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 45491001007056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66169404887040).

45491001007056 is an abundant number, since it is smaller than the sum of its proper divisors (86847808767024).

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

45491001007056 is a wasteful number, since it uses less digits than its factorization.

45491001007056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18754 (or 18748 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 45491001007056 in words is "forty-five trillion, four hundred ninety-one billion, one million, seven thousand, fifty-six".