114001155305312 has 144 divisors (see below), whose sum is σ = 253124783439696. Its totient is φ = 50121677721600.

The previous prime is 114001155305273. The next prime is 114001155305363. The reversal of 114001155305312 is 213503551100411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674091548 + ... + 674260644.

It is an arithmetic number, because the mean of its divisors is an integer number (1757810996109).

Almost surely, 2^{114001155305312} 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 114001155305312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126562391719848).

114001155305312 is an abundant number, since it is smaller than the sum of its proper divisors (139123628134384).

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

114001155305312 is a wasteful number, since it uses less digits than its factorization.

114001155305312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171173 (or 171134 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 114001155305312 in words is "one hundred fourteen trillion, one billion, one hundred fifty-five million, three hundred five thousand, three hundred twelve".