11646400133115 has 24 divisors (see below), whose sum is σ = 22022283889008. Its totient is φ = 5646739458240.

The previous prime is 11646400133051. The next prime is 11646400133131. The reversal of 11646400133115 is 51133100464611.

11646400133115 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 6 + 400 + 133 + 115 = 666.

It is not a de Polignac number, because 11646400133115 - 2⁶ = 11646400133051 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11646400133115.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11764040044 + ... + 11764041033.

It is an arithmetic number, because the mean of its divisors is an integer number (917595162042).

Almost surely, 2^{11646400133115} is an apocalyptic number.

11646400133115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11646400133115 is a deficient number, since it is larger than the sum of its proper divisors (10375883755893).

11646400133115 is a wasteful number, since it uses less digits than its factorization.

11646400133115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23528081099 (or 23528081096 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 11646400133115 its reverse (51133100464611), we get a palindrome (62779500597726).

The spelling of 11646400133115 in words is "eleven trillion, six hundred forty-six billion, four hundred million, one hundred thirty-three thousand, one hundred fifteen".