11414010668000 has 48 divisors (see below), whose sum is σ = 28044224221104. Its totient is φ = 4565604265600.

The previous prime is 11414010667999. The next prime is 11414010668003. The reversal of 11414010668000 is 86601041411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11414010668003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1426747334 + ... + 1426755333.

It is an arithmetic number, because the mean of its divisors is an integer number (584254671273).

Almost surely, 2^{11414010668000} is an apocalyptic number.

11414010668000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11414010668000 is an abundant number, since it is smaller than the sum of its proper divisors (16630213553104).

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

11414010668000 is an equidigital number, since it uses as much as digits as its factorization.

11414010668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853502692 (or 2853502674 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 11414010668000 in words is "eleven trillion, four hundred fourteen billion, ten million, six hundred sixty-eight thousand".