114510321315544 has 96 divisors (see below), whose sum is σ = 269771817692160. Its totient is φ = 44604912116160.

The previous prime is 114510321315461. The next prime is 114510321315547. The reversal of 114510321315544 is 445513123015411.

It is a super-3 number, since 3×114510321315544³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 114510321315497 and 114510321315506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114510321315547) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30070867 + ... + 33664189.

It is an arithmetic number, because the mean of its divisors is an integer number (2810123100960).

Almost surely, 2^{114510321315544} is an apocalyptic number.

114510321315544 is a gapful number since it is divisible by the number (14) 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 114510321315544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134885908846080).

114510321315544 is an abundant number, since it is smaller than the sum of its proper divisors (155261496376616).

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

114510321315544 is a wasteful number, since it uses less digits than its factorization.

114510321315544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598061 (or 3598046 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The spelling of 114510321315544 in words is "one hundred fourteen trillion, five hundred ten billion, three hundred twenty-one million, three hundred fifteen thousand, five hundred forty-four".