126046616085 has 72 divisors (see below), whose sum is σ = 236732862600. Its totient is φ = 62013579264.

The previous prime is 126046616083. The next prime is 126046616117. The reversal of 126046616085 is 580616640621.

126046616085 is a `hidden beast` number, since 1 + 26 + 0 + 4 + 6 + 616 + 0 + 8 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 125888007249 + 158608836 = 354807^2 + 12594^2 .

It is not a de Polignac number, because 126046616085 - 2¹ = 126046616083 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126046616085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126046616081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14239741 + ... + 14248589.

It is an arithmetic number, because the mean of its divisors is an integer number (3287956425).

Almost surely, 2^126046616085 is an apocalyptic number.

126046616085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126046616085 is a deficient number, since it is larger than the sum of its proper divisors (110686246515).

126046616085 is a wasteful number, since it uses less digits than its factorization.

126046616085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10759 (or 10743 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 126046616085 in words is "one hundred twenty-six billion, forty-six million, six hundred sixteen thousand, eighty-five".