45402313243144 has 128 divisors (see below), whose sum is σ = 102834775612800. Its totient is φ = 18513466583040.

The previous prime is 45402313243121. The next prime is 45402313243153. The reversal of 45402313243144 is 44134231320454.

It is a super-2 number, since 2×45402313243144² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45402313243097 and 45402313243106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35735404 + ... + 36984100.

It is an arithmetic number, because the mean of its divisors is an integer number (803396684475).

Almost surely, 2^{45402313243144} is an apocalyptic number.

45402313243144 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 45402313243144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51417387806400).

45402313243144 is an abundant number, since it is smaller than the sum of its proper divisors (57432462369656).

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

45402313243144 is a wasteful number, since it uses less digits than its factorization.

45402313243144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249623 (or 1249619 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 40.

Adding to 45402313243144 its reverse (44134231320454), we get a palindrome (89536544563598).

The spelling of 45402313243144 in words is "forty-five trillion, four hundred two billion, three hundred thirteen million, two hundred forty-three thousand, one hundred forty-four".