45009591701760 has 3456 divisors, whose sum is σ = 210890880614400. Its totient is φ = 8869089116160.

The previous prime is 45009591701717. The next prime is 45009591701771. The reversal of 45009591701760 is 6710719590054.

45009591701760 is a `hidden beast` number, since 4 + 500 + 9 + 5 + 9 + 1 + 70 + 1 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 45009591701697 and 45009591701706.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 41179863774 + ... + 41179864866.

Almost surely, 2^{45009591701760} is an apocalyptic number.

45009591701760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45009591701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105445440307200).

45009591701760 is an abundant number, since it is smaller than the sum of its proper divisors (165881288912640).

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

45009591701760 is a wasteful number, since it uses less digits than its factorization.

45009591701760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 45009591701760 in words is "forty-five trillion, nine billion, five hundred ninety-one million, seven hundred one thousand, seven hundred sixty".