11414771849100 has 288 divisors, whose sum is σ = 34056522465280. Its totient is φ = 2950928547840.

The previous prime is 11414771849093. The next prime is 11414771849123. The reversal of 11414771849100 is 194817741411.

It is a self number, because there is not a number n which added to its sum of digits gives 11414771849100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291940752 + ... + 291979848.

Almost surely, 2^{11414771849100} is an apocalyptic number.

11414771849100 is a gapful number since it is divisible by the number (10) 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 11414771849100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17028261232640).

11414771849100 is an abundant number, since it is smaller than the sum of its proper divisors (22641750616180).

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

11414771849100 is a wasteful number, since it uses less digits than its factorization.

11414771849100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39417 (or 39410 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 48.

The spelling of 11414771849100 in words is "eleven trillion, four hundred fourteen billion, seven hundred seventy-one million, eight hundred forty-nine thousand, one hundred".