45023421450042 has 192 divisors, whose sum is σ = 113460134621184. Its totient is φ = 12637216944000.

The previous prime is 45023421450017. The next prime is 45023421450149. The reversal of 45023421450042 is 24005412432054.

45023421450042 is a `hidden beast` number, since 4 + 50 + 23 + 42 + 1 + 4 + 500 + 42 = 666.

45023421450042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45023421449979 and 45023421450006.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4900770573 + ... + 4900779759.

It is an arithmetic number, because the mean of its divisors is an integer number (590938201152).

Almost surely, 2^{45023421450042} is an apocalyptic number.

45023421450042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45023421450042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56730067310592).

45023421450042 is an abundant number, since it is smaller than the sum of its proper divisors (68436713171142).

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

45023421450042 is a wasteful number, since it uses less digits than its factorization.

45023421450042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10793 (or 10790 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 45023421450042 its reverse (24005412432054), we get a palindrome (69028833882096).

The spelling of 45023421450042 in words is "forty-five trillion, twenty-three billion, four hundred twenty-one million, four hundred fifty thousand, forty-two".