45282074112 has 560 divisors, whose sum is σ = 152156355120. Its totient is φ = 13337395200.

The previous prime is 45282074093. The next prime is 45282074119. The reversal of 45282074112 is 21147028254.

45282074112 is a `hidden beast` number, since 452 + 8 + 20 + 74 + 112 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45282074119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 168334714 + ... + 168334982.

It is an arithmetic number, because the mean of its divisors is an integer number (271707777).

Almost surely, 2^45282074112 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 45282074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76078177560).

45282074112 is an abundant number, since it is smaller than the sum of its proper divisors (106874281008).

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

45282074112 is an equidigital number, since it uses as much as digits as its factorization.

45282074112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 45282074112 in words is "forty-five billion, two hundred eighty-two million, seventy-four thousand, one hundred twelve".