45265973935104 has 1056 divisors, whose sum is σ = 151629120348160. Its totient is φ = 13473655603200.

The previous prime is 45265973935079. The next prime is 45265973935109. The reversal of 45265973935104 is 40153937956254.

45265973935104 is a `hidden beast` number, since 4 + 5 + 2 + 6 + 597 + 3 + 9 + 35 + 1 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45265973935109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16947199689 + ... + 16947202359.

Almost surely, 2^{45265973935104} 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 45265973935104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75814560174080).

45265973935104 is an abundant number, since it is smaller than the sum of its proper divisors (106363146413056).

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

45265973935104 is an equidigital number, since it uses as much as digits as its factorization.

45265973935104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 63.

The spelling of 45265973935104 in words is "forty-five trillion, two hundred sixty-five billion, nine hundred seventy-three million, nine hundred thirty-five thousand, one hundred four".