11461472100000 has 864 divisors, whose sum is σ = 44945097423408. Its totient is φ = 2752358400000.

The previous prime is 11461472099933. The next prime is 11461472100037. The reversal of 11461472100000 is 127416411.

It can be written as a sum of positive squares in 24 ways, for example, as 10994715325584 + 466756774416 = 3315828^2 + 683196^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 479688054 + ... + 479711946.

Almost surely, 2^{11461472100000} is an apocalyptic number.

11461472100000 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 11461472100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22472548711704).

11461472100000 is an abundant number, since it is smaller than the sum of its proper divisors (33483625323408).

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

11461472100000 is a wasteful number, since it uses less digits than its factorization.

11461472100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23988 (or 23957 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 11461472100000 its reverse (127416411), we get a palindrome (11461599516411).

The spelling of 11461472100000 in words is "eleven trillion, four hundred sixty-one billion, four hundred seventy-two million, one hundred thousand".