11545456050 has 144 divisors (see below), whose sum is σ = 32551541568. Its totient is φ = 2928182400.

The previous prime is 11545456003. The next prime is 11545456051. The reversal of 11545456050 is 5065454511.

11545456050 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 5 + 45 + 605 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11545455996 and 11545456014.

It is not an unprimeable number, because it can be changed into a prime (11545456051) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1870269 + ... + 1876431.

It is an arithmetic number, because the mean of its divisors is an integer number (226052372).

Almost surely, 2^11545456050 is an apocalyptic number.

11545456050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11545456050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16275770784).

11545456050 is an abundant number, since it is smaller than the sum of its proper divisors (21006085518).

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

11545456050 is a wasteful number, since it uses less digits than its factorization.

11545456050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6385 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 11545456050 in words is "eleven billion, five hundred forty-five million, four hundred fifty-six thousand, fifty".