45661743892989 has 288 divisors, whose sum is σ = 81533762838528. Its totient is φ = 24098416531200.

The previous prime is 45661743892957. The next prime is 45661743893053. The reversal of 45661743892989 is 98929834716654.

It is a happy number.

45661743892989 is a `hidden beast` number, since 4 + 5 + 6 + 6 + 1 + 7 + 438 + 92 + 98 + 9 = 666.

45661743892989 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45661743892989 - 2⁵ = 45661743892957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45661743892939) 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 287 ways as a sum of consecutive naturals, for example, 46076431284 + ... + 46076432274.

Almost surely, 2^{45661743892989} is an apocalyptic number.

It is an amenable number.

45661743892989 is a deficient number, since it is larger than the sum of its proper divisors (35872018945539).

45661743892989 is a wasteful number, since it uses less digits than its factorization.

45661743892989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1443 counting only the distinct ones).

The product of its digits is 5643509760, while the sum is 81.

The spelling of 45661743892989 in words is "forty-five trillion, six hundred sixty-one billion, seven hundred forty-three million, eight hundred ninety-two thousand, nine hundred eighty-nine".