45051341314032 has 80 divisors (see below), whose sum is σ = 129366328670880. Its totient is φ = 15011040987648.

The previous prime is 45051341314009. The next prime is 45051341314033. The reversal of 45051341314032 is 23041314315054.

45051341314032 is a `hidden beast` number, since 4 + 5 + 0 + 513 + 4 + 131 + 4 + 0 + 3 + 2 = 666.

45051341314032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (45051341314033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20016483 + ... + 22153154.

It is an arithmetic number, because the mean of its divisors is an integer number (1617079108386).

Almost surely, 2^{45051341314032} is an apocalyptic number.

It is an amenable number.

45051341314032 is an abundant number, since it is smaller than the sum of its proper divisors (84314987356848).

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

45051341314032 is a wasteful number, since it uses less digits than its factorization.

45051341314032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42172127 (or 42172115 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 45051341314032 its reverse (23041314315054), we get a palindrome (68092655629086).

It can be divided in two parts, 4505134 and 1314032, that added together give a triangular number (5819166 = T₃₄₁₁).

The spelling of 45051341314032 in words is "forty-five trillion, fifty-one billion, three hundred forty-one million, three hundred fourteen thousand, thirty-two".