114511313442015 has 48 divisors (see below), whose sum is σ = 226844782632000. Its totient is φ = 52347262012416.

The previous prime is 114511313441969. The next prime is 114511313442107. The reversal of 114511313442015 is 510244313115411.

114511313442015 is a `hidden beast` number, since 1 + 1 + 4 + 511 + 3 + 134 + 4 + 2 + 0 + 1 + 5 = 666.

It is not a de Polignac number, because 114511313442015 - 2¹⁰ = 114511313440991 is a prime.

It is a super-2 number, since 2×114511313442015² (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 47 ways as a sum of consecutive naturals, for example, 19153351 + ... + 24410519.

It is an arithmetic number, because the mean of its divisors is an integer number (4725932971500).

Almost surely, 2^{114511313442015} is an apocalyptic number.

114511313442015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114511313442015 is a deficient number, since it is larger than the sum of its proper divisors (112333469189985).

114511313442015 is a wasteful number, since it uses less digits than its factorization.

114511313442015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5326336 (or 5326333 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 114511313442015 its reverse (510244313115411), we get a palindrome (624755626557426).

The spelling of 114511313442015 in words is "one hundred fourteen trillion, five hundred eleven billion, three hundred thirteen million, four hundred forty-two thousand, fifteen".