114112201104 has 240 divisors, whose sum is σ = 365441431680. Its totient is φ = 32902594560.

The previous prime is 114112201087. The next prime is 114112201111. The reversal of 114112201104 is 401102211411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7023262 + ... + 7039490.

It is an arithmetic number, because the mean of its divisors is an integer number (1522672632).

Almost surely, 2^114112201104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114112201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182720715840).

114112201104 is an abundant number, since it is smaller than the sum of its proper divisors (251329230576).

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

114112201104 is a wasteful number, since it uses less digits than its factorization.

114112201104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16470 (or 16461 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 114112201104 its reverse (401102211411), we get a palindrome (515214412515).

The spelling of 114112201104 in words is "one hundred fourteen billion, one hundred twelve million, two hundred one thousand, one hundred four".