114031511522112 has 224 divisors, whose sum is σ = 315867789139968. Its totient is φ = 36261630720000.

The previous prime is 114031511522057. The next prime is 114031511522141. The reversal of 114031511522112 is 211225115130411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 114031511522112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5058837562 + ... + 5058860102.

Almost surely, 2^{114031511522112} is an apocalyptic number.

114031511522112 is a gapful number since it is divisible by the number (12) 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 114031511522112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157933894569984).

114031511522112 is an abundant number, since it is smaller than the sum of its proper divisors (201836277617856).

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

114031511522112 is a wasteful number, since it uses less digits than its factorization.

114031511522112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34629 (or 34619 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 30.

Adding to 114031511522112 its reverse (211225115130411), we get a palindrome (325256626652523).

The spelling of 114031511522112 in words is "one hundred fourteen trillion, thirty-one billion, five hundred eleven million, five hundred twenty-two thousand, one hundred twelve".