11614032634152 has 128 divisors (see below), whose sum is σ = 32124800252160. Its totient is φ = 3475758366720.

The previous prime is 11614032634151. The next prime is 11614032634187. The reversal of 11614032634152 is 25143623041611.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11614032634152.

It is not an unprimeable number, because it can be changed into a prime (11614032634151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33338952 + ... + 33685512.

It is an arithmetic number, because the mean of its divisors is an integer number (250975001970).

Almost surely, 2^{11614032634152} is an apocalyptic number.

11614032634152 is a gapful number since it is divisible by the number (12) 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 11614032634152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16062400126080).

11614032634152 is an abundant number, since it is smaller than the sum of its proper divisors (20510767618008).

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

11614032634152 is a wasteful number, since it uses less digits than its factorization.

11614032634152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349523 (or 349519 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

Adding to 11614032634152 its reverse (25143623041611), we get a palindrome (36757655675763).

The spelling of 11614032634152 in words is "eleven trillion, six hundred fourteen billion, thirty-two million, six hundred thirty-four thousand, one hundred fifty-two".