11745064465120 has 192 divisors, whose sum is σ = 32139997102080. Its totient is φ = 3972843528192.

The previous prime is 11745064465117. The next prime is 11745064465157. The reversal of 11745064465120 is 2156446054711.

It is a happy number.

It is a super-2 number, since 2×11745064465120² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25230312 + ... + 25691608.

It is an arithmetic number, because the mean of its divisors is an integer number (167395818240).

Almost surely, 2^{11745064465120} is an apocalyptic number.

11745064465120 is a gapful number since it is divisible by the number (10) 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 11745064465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16069998551040).

11745064465120 is an abundant number, since it is smaller than the sum of its proper divisors (20394932636960).

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

11745064465120 is a wasteful number, since it uses less digits than its factorization.

11745064465120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461625 (or 461617 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 11745064465120 in words is "eleven trillion, seven hundred forty-five billion, sixty-four million, four hundred sixty-five thousand, one hundred twenty".