11460106652200 has 96 divisors (see below), whose sum is σ = 27607607330400. Its totient is φ = 4421321365760.

The previous prime is 11460106652179. The next prime is 11460106652227. The reversal of 11460106652200 is 225660106411.

It is a super-3 number, since 3×11460106652200³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8536822 + ... + 9787621.

It is an arithmetic number, because the mean of its divisors is an integer number (287579243025).

Almost surely, 2^{11460106652200} is an apocalyptic number.

11460106652200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11460106652200 is an abundant number, since it is smaller than the sum of its proper divisors (16147500678200).

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

11460106652200 is a wasteful number, since it uses less digits than its factorization.

11460106652200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18324571 (or 18324562 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 11460106652200 its reverse (225660106411), we get a palindrome (11685766758611).

The spelling of 11460106652200 in words is "eleven trillion, four hundred sixty billion, one hundred six million, six hundred fifty-two thousand, two hundred".