45233643313144 has 128 divisors (see below), whose sum is σ = 105508029876480. Its totient is φ = 17861667379200.

The previous prime is 45233643313087. The next prime is 45233643313153. The reversal of 45233643313144 is 44131334633254.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45233643313094 and 45233643313103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380557387 + ... + 380676229.

It is an arithmetic number, because the mean of its divisors is an integer number (824281483410).

Almost surely, 2^{45233643313144} is an apocalyptic number.

45233643313144 is a gapful number since it is divisible by the number (44) 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 45233643313144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52754014938240).

45233643313144 is an abundant number, since it is smaller than the sum of its proper divisors (60274386563336).

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

45233643313144 is a wasteful number, since it uses less digits than its factorization.

45233643313144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138461 (or 138457 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 46.

Adding to 45233643313144 its reverse (44131334633254), we get a palindrome (89364977946398).

The spelling of 45233643313144 in words is "forty-five trillion, two hundred thirty-three billion, six hundred forty-three million, three hundred thirteen thousand, one hundred forty-four".