114505405115301 has 12 divisors (see below), whose sum is σ = 165780447318720. Its totient is φ = 76159820878440.

The previous prime is 114505405115291. The next prime is 114505405115359. The reversal of 114505405115301 is 103511504505411.

114505405115301 is a `hidden beast` number, since 1 + 1 + 4 + 50 + 5 + 40 + 511 + 53 + 0 + 1 = 666.

It is not a de Polignac number, because 114505405115301 - 2¹³ = 114505405107109 is a prime.

It is a super-4 number, since 4×114505405115301⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114505405115401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14759651331 + ... + 14759659088.

It is an arithmetic number, because the mean of its divisors is an integer number (13815037276560).

Almost surely, 2^{114505405115301} is an apocalyptic number.

It is an amenable number.

114505405115301 is a deficient number, since it is larger than the sum of its proper divisors (51275042203419).

114505405115301 is a wasteful number, since it uses less digits than its factorization.

114505405115301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29519310856 (or 29519310853 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 114505405115301 in words is "one hundred fourteen trillion, five hundred five billion, four hundred five million, one hundred fifteen thousand, three hundred one".