11545635298752 has 672 divisors, whose sum is σ = 36488332887552. Its totient is φ = 3612241391616.

The previous prime is 11545635298727. The next prime is 11545635298753. The reversal of 11545635298752 is 25789253654511.

It is a happy number.

11545635298752 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 56 + 3 + 529 + 8 + 7 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11545635298752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11545635298753) 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, 4661135338 + ... + 4661137814.

It is an arithmetic number, because the mean of its divisors is an integer number (54298114416).

Almost surely, 2^{11545635298752} is an apocalyptic number.

11545635298752 is a gapful number since it is divisible by the number (12) 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 11545635298752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18244166443776).

11545635298752 is an abundant number, since it is smaller than the sum of its proper divisors (24942697588800).

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

11545635298752 is a wasteful number, since it uses less digits than its factorization.

11545635298752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2745 counting only the distinct ones).

The product of its digits is 90720000, while the sum is 63.

The spelling of 11545635298752 in words is "eleven trillion, five hundred forty-five billion, six hundred thirty-five million, two hundred ninety-eight thousand, seven hundred fifty-two".