45728335286424 has 384 divisors, whose sum is σ = 153413479440000. Its totient is φ = 12257373413376.

The previous prime is 45728335286363. The next prime is 45728335286443. The reversal of 45728335286424 is 42468253382754.

45728335286424 is a `hidden beast` number, since 4 + 5 + 7 + 2 + 83 + 3 + 52 + 86 + 424 = 666.

It is a super-2 number, since 2×45728335286424² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131233422 + ... + 131581410.

It is an arithmetic number, because the mean of its divisors is an integer number (399514269375).

Almost surely, 2^{45728335286424} 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 45728335286424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76706739720000).

45728335286424 is an abundant number, since it is smaller than the sum of its proper divisors (107685144153576).

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

45728335286424 is a wasteful number, since it uses less digits than its factorization.

45728335286424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348352 (or 348331 counting only the distinct ones).

The product of its digits is 309657600, while the sum is 63.

The spelling of 45728335286424 in words is "forty-five trillion, seven hundred twenty-eight billion, three hundred thirty-five million, two hundred eighty-six thousand, four hundred twenty-four".