11418749295114 has 384 divisors, whose sum is σ = 28902881894400. Its totient is φ = 2943218073600.

The previous prime is 11418749295101. The next prime is 11418749295139. The reversal of 11418749295114 is 41159294781411.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4246465482 + ... + 4246468170.

It is an arithmetic number, because the mean of its divisors is an integer number (75267921600).

Almost surely, 2^{11418749295114} is an apocalyptic number.

11418749295114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11418749295114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14451440947200).

11418749295114 is an abundant number, since it is smaller than the sum of its proper divisors (17484132599286).

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

11418749295114 is a wasteful number, since it uses less digits than its factorization.

11418749295114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2927 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 57.

The spelling of 11418749295114 in words is "eleven trillion, four hundred eighteen billion, seven hundred forty-nine million, two hundred ninety-five thousand, one hundred fourteen".