114505405115300 has 18 divisors (see below), whose sum is σ = 248476729100418. Its totient is φ = 45802162046080.

The previous prime is 114505405115291. The next prime is 114505405115359. The reversal of 114505405115300 is 3511504505411.

It can be written as a sum of positive squares in 3 ways, for example, as 98807120896 + 114406597994404 = 314336^2 + 10696102^2 .

It is a super-4 number, since 4×114505405115300⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 572527025477 + ... + 572527025676.

It is an arithmetic number, because the mean of its divisors is an integer number (13804262727801).

Almost surely, 2^{114505405115300} is an apocalyptic number.

114505405115300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114505405115300 is an abundant number, since it is smaller than the sum of its proper divisors (133971323985118).

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

114505405115300 is a wasteful number, since it uses less digits than its factorization.

114505405115300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145054051167 (or 1145054051160 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 35.

The spelling of 114505405115300 in words is "one hundred fourteen trillion, five hundred five billion, four hundred five million, one hundred fifteen thousand, three hundred".