11314114000 has 320 divisors, whose sum is σ = 33459858432. Its totient is φ = 3615744000.

The previous prime is 11314113983. The next prime is 11314114043. The reversal of 11314114000 is 41141311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13201572 + ... + 13202428.

Almost surely, 2^11314114000 is an apocalyptic number.

11314114000 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 11314114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16729929216).

11314114000 is an abundant number, since it is smaller than the sum of its proper divisors (22145744432).

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

11314114000 is a wasteful number, since it uses less digits than its factorization.

11314114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11314114000 its reverse (41141311), we get a palindrome (11355255311).

The spelling of 11314114000 in words is "eleven billion, three hundred fourteen million, one hundred fourteen thousand".