11245410000 has 600 divisors, whose sum is σ = 44205024864. Its totient is φ = 2643840000.

The previous prime is 11245409957. The next prime is 11245410083. The reversal of 11245410000 is 1454211.

11245410000 is a `hidden beast` number, since 1 + 124 + 541 + 0 + 0 + 0 + 0 = 666.

11245410000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 36629847 + ... + 36630153.

Almost surely, 2^11245410000 is an apocalyptic number.

11245410000 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 11245410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22102512432).

11245410000 is an abundant number, since it is smaller than the sum of its proper divisors (32959614864).

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

11245410000 is a wasteful number, since it uses less digits than its factorization.

11245410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11245410000 its reverse (1454211), we get a palindrome (11246864211).

The spelling of 11245410000 in words is "eleven billion, two hundred forty-five million, four hundred ten thousand".