45263217744 has 160 divisors (see below), whose sum is σ = 131031613440. Its totient is φ = 14959410048.

The previous prime is 45263217709. The next prime is 45263217763. The reversal of 45263217744 is 44771236254.

45263217744 is a `hidden beast` number, since 4 + 5 + 2 + 632 + 1 + 7 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45263217744.

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, 52448257 + ... + 52449119.

It is an arithmetic number, because the mean of its divisors is an integer number (818947584).

Almost surely, 2^45263217744 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 45263217744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65515806720).

45263217744 is an abundant number, since it is smaller than the sum of its proper divisors (85768395696).

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

45263217744 is a wasteful number, since it uses less digits than its factorization.

45263217744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1762 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 45.

The spelling of 45263217744 in words is "forty-five billion, two hundred sixty-three million, two hundred seventeen thousand, seven hundred forty-four".