45820669524576 has 288 divisors, whose sum is σ = 131020646843520. Its totient is φ = 13982053662720.

The previous prime is 45820669524559. The next prime is 45820669524583. The reversal of 45820669524576 is 67542596602854.

It is a self number, because there is not a number n which added to its sum of digits gives 45820669524576.

It is a congruent number.

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, 1197186976 + ... + 1197225248.

It is an arithmetic number, because the mean of its divisors is an integer number (454932801540).

Almost surely, 2^{45820669524576} 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 45820669524576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65510323421760).

45820669524576 is an abundant number, since it is smaller than the sum of its proper divisors (85199977318944).

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

45820669524576 is a wasteful number, since it uses less digits than its factorization.

45820669524576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39050 (or 39011 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 69.

The spelling of 45820669524576 in words is "forty-five trillion, eight hundred twenty billion, six hundred sixty-nine million, five hundred twenty-four thousand, five hundred seventy-six".