11414917264608 has 1152 divisors, whose sum is σ = 40788548075520. Its totient is φ = 3061604044800.

The previous prime is 11414917264573. The next prime is 11414917264609. The reversal of 11414917264608 is 80646271941411.

11414917264608 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 4 + 9 + 1 + 7 + 26 + 4 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11414917264609) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15079150566 + ... + 15079151322.

It is an arithmetic number, because the mean of its divisors is an integer number (35406725760).

Almost surely, 2^{11414917264608} is an apocalyptic number.

11414917264608 is a gapful number since it is divisible by the number (18) 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 11414917264608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20394274037760).

11414917264608 is an abundant number, since it is smaller than the sum of its proper divisors (29373630810912).

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

11414917264608 is a wasteful number, since it uses less digits than its factorization.

11414917264608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 11414917264608 in words is "eleven trillion, four hundred fourteen billion, nine hundred seventeen million, two hundred sixty-four thousand, six hundred eight".