126146170368 has 200 divisors, whose sum is σ = 377057871960. Its totient is φ = 41987911680.

The previous prime is 126146170361. The next prime is 126146170399. The reversal of 126146170368 is 863071641621.

126146170368 is a `hidden beast` number, since 1 + 2 + 61 + 461 + 70 + 3 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126146170361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35622678 + ... + 35626218.

Almost surely, 2^126146170368 is an apocalyptic number.

126146170368 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 126146170368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188528935980).

126146170368 is an abundant number, since it is smaller than the sum of its proper divisors (250911701592).

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

126146170368 is an frugal number, since it uses more digits than its factorization.

126146170368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430 (or 4405 counting only the distinct ones).

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

The spelling of 126146170368 in words is "one hundred twenty-six billion, one hundred forty-six million, one hundred seventy thousand, three hundred sixty-eight".