45824028012 has 432 divisors, whose sum is σ = 150595361280. Its totient is φ = 11454981120.

The previous prime is 45824028011. The next prime is 45824028079. The reversal of 45824028012 is 21082042854.

45824028012 is a `hidden beast` number, since 4 + 582 + 40 + 28 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45824028011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105828948 + ... + 105829380.

Almost surely, 2^45824028012 is an apocalyptic number.

45824028012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45824028012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75297680640).

45824028012 is an abundant number, since it is smaller than the sum of its proper divisors (104771333268).

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

45824028012 is a wasteful number, since it uses less digits than its factorization.

45824028012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 45824028012 in words is "forty-five billion, eight hundred twenty-four million, twenty-eight thousand, twelve".