114635123460765 has 12 divisors (see below), whose sum is σ = 198700880665404. Its totient is φ = 61138732512384.

The previous prime is 114635123460667. The next prime is 114635123460827. The reversal of 114635123460765 is 567064321536411.

114635123460765 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 3 + 5 + 1 + 23 + 4 + 607 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48312814350564 + 66322309110201 = 6950742^2 + 8143851^2 .

It is not a de Polignac number, because 114635123460765 - 2¹³ = 114635123452573 is a prime.

It is a super-3 number, since 3×114635123460765³ (a number of 43 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1273723593964 + ... + 1273723594053.

It is an arithmetic number, because the mean of its divisors is an integer number (16558406722117).

Almost surely, 2^{114635123460765} is an apocalyptic number.

114635123460765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114635123460765 is a deficient number, since it is larger than the sum of its proper divisors (84065757204639).

114635123460765 is a wasteful number, since it uses less digits than its factorization.

114635123460765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547447188028 (or 2547447188025 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 114635123460765 in words is "one hundred fourteen trillion, six hundred thirty-five billion, one hundred twenty-three million, four hundred sixty thousand, seven hundred sixty-five".