45553131442544 has 80 divisors (see below), whose sum is σ = 96424066902240. Its totient is φ = 20675601223680.

The previous prime is 45553131442543. The next prime is 45553131442589. The reversal of 45553131442544 is 44524413135554.

45553131442544 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 = 45553131442492 and 45553131442501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45553131442541) 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, 337771094 + ... + 337905930.

It is an arithmetic number, because the mean of its divisors is an integer number (1205300836278).

Almost surely, 2^{45553131442544} is an apocalyptic number.

45553131442544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

45553131442544 is an abundant number, since it is smaller than the sum of its proper divisors (50870935459696).

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

45553131442544 is a wasteful number, since it uses less digits than its factorization.

45553131442544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137658 (or 137652 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 50.

The spelling of 45553131442544 in words is "forty-five trillion, five hundred fifty-three billion, one hundred thirty-one million, four hundred forty-two thousand, five hundred forty-four".