45083874085344 has 192 divisors, whose sum is σ = 139785857568000. Its totient is φ = 14096051827200.

The previous prime is 45083874085343. The next prime is 45083874085351. The reversal of 45083874085344 is 44358047838054.

45083874085344 is a `hidden beast` number, since 4 + 50 + 8 + 3 + 8 + 7 + 40 + 8 + 534 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45083874085343) by changing a digit.

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, 11937714 + ... + 15253745.

It is an arithmetic number, because the mean of its divisors is an integer number (728051341500).

Almost surely, 2^{45083874085344} is an apocalyptic number.

It is an amenable number.

45083874085344 is an abundant number, since it is smaller than the sum of its proper divisors (94701983482656).

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

45083874085344 is a wasteful number, since it uses less digits than its factorization.

45083874085344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27191598 (or 27191584 counting only the distinct ones).

The product of its (nonzero) digits is 206438400, while the sum is 63.

The spelling of 45083874085344 in words is "forty-five trillion, eighty-three billion, eight hundred seventy-four million, eighty-five thousand, three hundred forty-four".