114011400061312 has 128 divisors (see below), whose sum is σ = 254166394245120. Its totient is φ = 50585962752000.

The previous prime is 114011400061301. The next prime is 114011400061337. The reversal of 114011400061312 is 213160004110411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×114011400061312² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470613 + ... + 15107755.

It is an arithmetic number, because the mean of its divisors is an integer number (1985674955040).

Almost surely, 2^{114011400061312} 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 114011400061312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127083197122560).

114011400061312 is an abundant number, since it is smaller than the sum of its proper divisors (140154994183808).

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

114011400061312 is a wasteful number, since it uses less digits than its factorization.

114011400061312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14637352 (or 14637340 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 114011400061312 its reverse (213160004110411), we get a palindrome (327171404171723).

The spelling of 114011400061312 in words is "one hundred fourteen trillion, eleven billion, four hundred million, sixty-one thousand, three hundred twelve".