113414511200 has 144 divisors (see below), whose sum is σ = 292589554320. Its totient is φ = 42809425920.

The previous prime is 113414511173. The next prime is 113414511269. The reversal of 113414511200 is 2115414311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3891884 + ... + 3920916.

It is an arithmetic number, because the mean of its divisors is an integer number (2031871905).

Almost surely, 2^113414511200 is an apocalyptic number.

113414511200 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 113414511200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146294777160).

113414511200 is an abundant number, since it is smaller than the sum of its proper divisors (179175043120).

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

113414511200 is a wasteful number, since it uses less digits than its factorization.

113414511200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29329 (or 29316 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 113414511200 its reverse (2115414311), we get a palindrome (115529925511).

The spelling of 113414511200 in words is "one hundred thirteen billion, four hundred fourteen million, five hundred eleven thousand, two hundred".