11245562904576 has 1920 divisors, whose sum is σ = 42547868762112. Its totient is φ = 2548039680000.

The previous prime is 11245562904571. The next prime is 11245562904577. The reversal of 11245562904576 is 67540926554211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11245562904571) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111342206926 + ... + 111342207026.

Almost surely, 2^{11245562904576} is an apocalyptic number.

11245562904576 is a gapful number since it is divisible by the number (16) 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 11245562904576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21273934381056).

11245562904576 is an abundant number, since it is smaller than the sum of its proper divisors (31302305857536).

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

11245562904576 is a wasteful number, since it uses less digits than its factorization.

11245562904576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 57.

The spelling of 11245562904576 in words is "eleven trillion, two hundred forty-five billion, five hundred sixty-two million, nine hundred four thousand, five hundred seventy-six".