45244030950144 has 432 divisors, whose sum is σ = 143369959174624. Its totient is φ = 13637586124800.

The previous prime is 45244030950133. The next prime is 45244030950161. The reversal of 45244030950144 is 44105903044254.

45244030950144 is a `hidden beast` number, since 4 + 52 + 4 + 403 + 0 + 9 + 50 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45244030950144.

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 47 ways as a sum of consecutive naturals, for example, 363165624 + ... + 363290184.

Almost surely, 2^{45244030950144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45244030950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71684979587312).

45244030950144 is an abundant number, since it is smaller than the sum of its proper divisors (98125928224480).

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

45244030950144 is a wasteful number, since it uses less digits than its factorization.

45244030950144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124844 (or 124827 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 45244030950144 its reverse (44105903044254), we get a palindrome (89349933994398).

The spelling of 45244030950144 in words is "forty-five trillion, two hundred forty-four billion, thirty million, nine hundred fifty thousand, one hundred forty-four".