45065932761252 has 192 divisors, whose sum is σ = 122154736435200. Its totient is φ = 12817098201600.

The previous prime is 45065932761203. The next prime is 45065932761271. The reversal of 45065932761252 is 25216723956054.

It is a junction number, because it is equal to n+sod(n) for n = 45065932761192 and 45065932761201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76565374 + ... + 77151722.

It is an arithmetic number, because the mean of its divisors is an integer number (636222585600).

Almost surely, 2^{45065932761252} 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 45065932761252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61077368217600).

45065932761252 is an abundant number, since it is smaller than the sum of its proper divisors (77088803673948).

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

45065932761252 is a wasteful number, since it uses less digits than its factorization.

45065932761252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587114 (or 587112 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 57.

The spelling of 45065932761252 in words is "forty-five trillion, sixty-five billion, nine hundred thirty-two million, seven hundred sixty-one thousand, two hundred fifty-two".