45340114887936 has 576 divisors, whose sum is σ = 149494431744000. Its totient is φ = 13436778700800.

The previous prime is 45340114887911. The next prime is 45340114887941. The reversal of 45340114887936 is 63978841104354.

45340114887936 is a `hidden beast` number, since 4 + 5 + 3 + 40 + 11 + 488 + 79 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5535353601 + ... + 5535361791.

It is an arithmetic number, because the mean of its divisors is an integer number (259538944000).

Almost surely, 2^{45340114887936} 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 45340114887936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74747215872000).

45340114887936 is an abundant number, since it is smaller than the sum of its proper divisors (104154316856064).

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

45340114887936 is a wasteful number, since it uses less digits than its factorization.

45340114887936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9823 (or 9803 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 45340114887936 in words is "forty-five trillion, three hundred forty billion, one hundred fourteen million, eight hundred eighty-seven thousand, nine hundred thirty-six".