114146305613505 has 24 divisors (see below), whose sum is σ = 215840286979200. Its totient is φ = 55343663327520.

The previous prime is 114146305613471. The next prime is 114146305613539. The reversal of 114146305613505 is 505316503641411.

114146305613505 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 4 + 6 + 30 + 561 + 3 + 50 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (114146305613471) and next prime (114146305613539).

It is not a de Polignac number, because 114146305613505 - 2⁶ = 114146305613441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115299298105 + ... + 115299299094.

It is an arithmetic number, because the mean of its divisors is an integer number (8993345290800).

Almost surely, 2^{114146305613505} is an apocalyptic number.

114146305613505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114146305613505 is a deficient number, since it is larger than the sum of its proper divisors (101693981365695).

114146305613505 is a wasteful number, since it uses less digits than its factorization.

114146305613505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230598597221 (or 230598597218 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 114146305613505 in words is "one hundred fourteen trillion, one hundred forty-six billion, three hundred five million, six hundred thirteen thousand, five hundred five".