11653352127264 has 48 divisors (see below), whose sum is σ = 30745328822208. Its totient is φ = 3864732678912.

The previous prime is 11653352127257. The next prime is 11653352127269. The reversal of 11653352127264 is 46272125335611.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11653352127269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 308075212 + ... + 308113035.

It is an arithmetic number, because the mean of its divisors is an integer number (640527683796).

Almost surely, 2^{11653352127264} is an apocalyptic number.

It is an amenable number.

11653352127264 is an abundant number, since it is smaller than the sum of its proper divisors (19091976694944).

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

11653352127264 is a wasteful number, since it uses less digits than its factorization.

11653352127264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616188457 (or 616188449 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The spelling of 11653352127264 in words is "eleven trillion, six hundred fifty-three billion, three hundred fifty-two million, one hundred twenty-seven thousand, two hundred sixty-four".