45727847424 has 396 divisors, whose sum is σ = 155171402100. Its totient is φ = 12931301376.

The previous prime is 45727847413. The next prime is 45727847449. The reversal of 45727847424 is 42474872754.

45727847424 is a `hidden beast` number, since 4 + 572 + 7 + 8 + 47 + 4 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13050777600 + 32677069824 = 114240^2 + 180768^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49222192 + ... + 49223120.

It is an arithmetic number, because the mean of its divisors is an integer number (391846975).

Almost surely, 2^45727847424 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 45727847424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77585701050).

45727847424 is an abundant number, since it is smaller than the sum of its proper divisors (109443554676).

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

45727847424 is a wasteful number, since it uses less digits than its factorization.

45727847424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1050 counting only the distinct ones).

The product of its digits is 14049280, while the sum is 54.

The spelling of 45727847424 in words is "forty-five billion, seven hundred twenty-seven million, eight hundred forty-seven thousand, four hundred twenty-four".