114315144013540 has 48 divisors (see below), whose sum is σ = 240397642098432. Its totient is φ = 45662109118976.

The previous prime is 114315144013531. The next prime is 114315144013583. The reversal of 114315144013540 is 45310441513411.

It is a self number, because there is not a number n which added to its sum of digits gives 114315144013540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86959989 + ... + 88264771.

It is an arithmetic number, because the mean of its divisors is an integer number (5008284210384).

Almost surely, 2^{114315144013540} is an apocalyptic number.

114315144013540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114315144013540 is an abundant number, since it is smaller than the sum of its proper divisors (126082498084892).

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

114315144013540 is a wasteful number, since it uses less digits than its factorization.

114315144013540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310916 (or 1310914 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

Adding to 114315144013540 its reverse (45310441513411), we get a palindrome (159625585526951).

The spelling of 114315144013540 in words is "one hundred fourteen trillion, three hundred fifteen billion, one hundred forty-four million, thirteen thousand, five hundred forty".