114510403320152 has 32 divisors (see below), whose sum is σ = 259813520140320. Its totient is φ = 46189070246400.

The previous prime is 114510403320143. The next prime is 114510403320161. The reversal of 114510403320152 is 251023304015411.

It is an interprime number because it is at equal distance from previous prime (114510403320143) and next prime (114510403320161).

It is a super-4 number, since 4×114510403320152⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 60142017599 + ... + 60142019502.

It is an arithmetic number, because the mean of its divisors is an integer number (8119172504385).

Almost surely, 2^{114510403320152} is an apocalyptic number.

It is an amenable number.

114510403320152 is an abundant number, since it is smaller than the sum of its proper divisors (145303116820168).

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

114510403320152 is a wasteful number, since it uses less digits than its factorization.

114510403320152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120284037131 (or 120284037127 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

Adding to 114510403320152 its reverse (251023304015411), we get a palindrome (365533707335563).

The spelling of 114510403320152 in words is "one hundred fourteen trillion, five hundred ten billion, four hundred three million, three hundred twenty thousand, one hundred fifty-two".