11614538859264 has 648 divisors, whose sum is σ = 39153464571312. Its totient is φ = 3282976112640.

The previous prime is 11614538859251. The next prime is 11614538859299. The reversal of 11614538859264 is 46295883541611.

It is a happy number.

11614538859264 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 4 + 5 + 38 + 8 + 592 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 827651992 + ... + 827666024.

Almost surely, 2^{11614538859264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11614538859264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19576732285656).

11614538859264 is an abundant number, since it is smaller than the sum of its proper divisors (27538925712048).

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

11614538859264 is a wasteful number, since it uses less digits than its factorization.

11614538859264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14213 (or 14179 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 11614538859264 in words is "eleven trillion, six hundred fourteen billion, five hundred thirty-eight million, eight hundred fifty-nine thousand, two hundred sixty-four".