11546224220010 has 128 divisors (see below), whose sum is σ = 28364145684480. Its totient is φ = 3006962067200.

The previous prime is 11546224219979. The next prime is 11546224220117. The reversal of 11546224220010 is 1002242264511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 11546224220010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1144205065 + ... + 1144215155.

It is an arithmetic number, because the mean of its divisors is an integer number (221594888160).

Almost surely, 2^{11546224220010} is an apocalyptic number.

11546224220010 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 11546224220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14182072842240).

11546224220010 is an abundant number, since it is smaller than the sum of its proper divisors (16817921464470).

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

11546224220010 is a wasteful number, since it uses less digits than its factorization.

11546224220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13404.

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 11546224220010 its reverse (1002242264511), we get a palindrome (12548466484521).

The spelling of 11546224220010 in words is "eleven trillion, five hundred forty-six billion, two hundred twenty-four million, two hundred twenty thousand, ten".