11445867197100 has 1152 divisors, whose sum is σ = 43753999564800. Its totient is φ = 2512885939200.

The previous prime is 11445867197081. The next prime is 11445867197137. The reversal of 11445867197100 is 179176854411.

11445867197100 is a `hidden beast` number, since 1 + 1 + 44 + 586 + 7 + 1 + 9 + 7 + 10 + 0 = 666.

11445867197100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14807072314 + ... + 14807073086.

It is an arithmetic number, because the mean of its divisors is an integer number (37980902400).

Almost surely, 2^{11445867197100} is an apocalyptic number.

11445867197100 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 11445867197100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21876999782400).

11445867197100 is an abundant number, since it is smaller than the sum of its proper divisors (32308132367700).

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

11445867197100 is a wasteful number, since it uses less digits than its factorization.

11445867197100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 11445867197100 in words is "eleven trillion, four hundred forty-five billion, eight hundred sixty-seven million, one hundred ninety-seven thousand, one hundred".