4106626146135 has 12 divisors (see below), whose sum is σ = 7118151986712. Its totient is φ = 2190200611248.

The previous prime is 4106626146131. The next prime is 4106626146137. The reversal of 4106626146135 is 5316416266014.

4106626146135 is a `hidden beast` number, since 4 + 1 + 0 + 6 + 6 + 26 + 1 + 4 + 613 + 5 = 666.

It is not a de Polignac number, because 4106626146135 - 2² = 4106626146131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 91258358803 = 4106626146135 / (4 + 1 + 0 + 6 + 6 + 2 + 6 + 1 + 4 + 6 + 1 + 3 + 5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106626146131) 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, 45629179357 + ... + 45629179446.

It is an arithmetic number, because the mean of its divisors is an integer number (593179332226).

Almost surely, 2^{4106626146135} is an apocalyptic number.

4106626146135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4106626146135 is a deficient number, since it is larger than the sum of its proper divisors (3011525840577).

4106626146135 is a wasteful number, since it uses less digits than its factorization.

4106626146135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91258358814 (or 91258358811 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 4106626146135 in words is "four trillion, one hundred six billion, six hundred twenty-six million, one hundred forty-six thousand, one hundred thirty-five".