11414346700 has 144 divisors (see below), whose sum is σ = 25933340160. Its totient is φ = 4357440000.

The previous prime is 11414346683. The next prime is 11414346701. The reversal of 11414346700 is 764341411.

It is not an unprimeable number, because it can be changed into a prime (11414346701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63767211 + ... + 63767389.

It is an arithmetic number, because the mean of its divisors is an integer number (180092640).

Almost surely, 2^11414346700 is an apocalyptic number.

11414346700 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 11414346700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12966670080).

11414346700 is an abundant number, since it is smaller than the sum of its proper divisors (14518993460).

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

11414346700 is a wasteful number, since it uses less digits than its factorization.

11414346700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 11414346700 in words is "eleven billion, four hundred fourteen million, three hundred forty-six thousand, seven hundred".