45858569053824 has 384 divisors, whose sum is σ = 138228791500800. Its totient is φ = 15132742216704.

The previous prime is 45858569053819. The next prime is 45858569053873. The reversal of 45858569053824 is 42835096585854.

45858569053824 is a `hidden beast` number, since 4 + 5 + 8 + 5 + 8 + 5 + 69 + 0 + 538 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 1844734707 + ... + 1844759565.

It is an arithmetic number, because the mean of its divisors is an integer number (359970811200).

Almost surely, 2^{45858569053824} 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 45858569053824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69114395750400).

45858569053824 is an abundant number, since it is smaller than the sum of its proper divisors (92370222446976).

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

45858569053824 is a wasteful number, since it uses less digits than its factorization.

45858569053824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25482 (or 25458 counting only the distinct ones).

The product of its (nonzero) digits is 1658880000, while the sum is 72.

The spelling of 45858569053824 in words is "forty-five trillion, eight hundred fifty-eight billion, five hundred sixty-nine million, fifty-three thousand, eight hundred twenty-four".