126616670208 has 624 divisors, whose sum is σ = 459393217920. Its totient is φ = 34016329728.

The previous prime is 126616670207. The next prime is 126616670221. The reversal of 126616670208 is 802076616621.

126616670208 is a `hidden beast` number, since 1 + 2 + 6 + 616 + 6 + 7 + 0 + 20 + 8 = 666.

It is a super-2 number, since 2×126616670208² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126616670207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118443498 + ... + 118444566.

It is an arithmetic number, because the mean of its divisors is an integer number (736207080).

Almost surely, 2^126616670208 is an apocalyptic number.

126616670208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126616670208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229696608960).

126616670208 is an abundant number, since it is smaller than the sum of its proper divisors (332776547712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126616670208 is an equidigital number, since it uses as much as digits as its factorization.

126616670208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 126616670208 in words is "one hundred twenty-six billion, six hundred sixteen million, six hundred seventy thousand, two hundred eight".