45497434057632 has 288 divisors, whose sum is σ = 133749026820864. Its totient is φ = 14659539148800.

The previous prime is 45497434057609. The next prime is 45497434057637. The reversal of 45497434057632 is 23675043479454.

45497434057632 is a `hidden beast` number, since 4 + 5 + 4 + 97 + 43 + 405 + 76 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 45497434057632.

It is not an unprimeable number, because it can be changed into a prime (45497434057637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3845605957 + ... + 3845617787.

It is an arithmetic number, because the mean of its divisors is an integer number (464406343128).

Almost surely, 2^{45497434057632} 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 45497434057632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66874513410432).

45497434057632 is an abundant number, since it is smaller than the sum of its proper divisors (88251592763232).

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

45497434057632 is a wasteful number, since it uses less digits than its factorization.

45497434057632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14212 (or 14201 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 63.

The spelling of 45497434057632 in words is "forty-five trillion, four hundred ninety-seven billion, four hundred thirty-four million, fifty-seven thousand, six hundred thirty-two".