11466225653100 has 144 divisors (see below), whose sum is σ = 33441109215360. Its totient is φ = 3033207590400.

The previous prime is 11466225653087. The next prime is 11466225653119. The reversal of 11466225653100 is 135652266411.

11466225653100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11466225653100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110105856 + ... + 110209944.

Almost surely, 2^{11466225653100} is an apocalyptic number.

11466225653100 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 11466225653100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16720554607680).

11466225653100 is an abundant number, since it is smaller than the sum of its proper divisors (21974883562260).

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

11466225653100 is a wasteful number, since it uses less digits than its factorization.

11466225653100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107040 (or 107033 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 11466225653100 in words is "eleven trillion, four hundred sixty-six billion, two hundred twenty-five million, six hundred fifty-three thousand, one hundred".