114315034415460 has 384 divisors, whose sum is σ = 328248683642880. Its totient is φ = 29718555955200.

The previous prime is 114315034415437. The next prime is 114315034415501. The reversal of 114315034415460 is 64514430513411.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133389771352 + ... + 133389772208.

It is an arithmetic number, because the mean of its divisors is an integer number (854814280320).

Almost surely, 2^{114315034415460} is an apocalyptic number.

114315034415460 is a gapful number since it is divisible by the number (10) 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 114315034415460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164124341821440).

114315034415460 is an abundant number, since it is smaller than the sum of its proper divisors (213933649227420).

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

114315034415460 is a wasteful number, since it uses less digits than its factorization.

114315034415460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

Adding to 114315034415460 its reverse (64514430513411), we get a palindrome (178829464928871).

The spelling of 114315034415460 in words is "one hundred fourteen trillion, three hundred fifteen billion, thirty-four million, four hundred fifteen thousand, four hundred sixty".