114613104627 has 64 divisors (see below), whose sum is σ = 205549747200. Its totient is φ = 61616401920.

The previous prime is 114613104623. The next prime is 114613104631. The reversal of 114613104627 is 726401316411.

114613104627 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 13 + 10 + 4 + 627 = 666.

It is an interprime number because it is at equal distance from previous prime (114613104623) and next prime (114613104631).

It is not a de Polignac number, because 114613104627 - 2² = 114613104623 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114613104591 and 114613104600.

It is not an unprimeable number, because it can be changed into a prime (114613104623) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10697149 + ... + 10707857.

It is an arithmetic number, because the mean of its divisors is an integer number (3211714800).

Almost surely, 2^114613104627 is an apocalyptic number.

114613104627 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

114613104627 is a deficient number, since it is larger than the sum of its proper divisors (90936642573).

114613104627 is a wasteful number, since it uses less digits than its factorization.

114613104627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14073 (or 14067 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 114613104627 in words is "one hundred fourteen billion, six hundred thirteen million, one hundred four thousand, six hundred twenty-seven".