126346671360 has 1296 divisors, whose sum is σ = 552711204864. Its totient is φ = 26085556224.

The previous prime is 126346671343. The next prime is 126346671361. The reversal of 126346671360 is 63176643621.

126346671360 is a `hidden beast` number, since 1 + 2 + 63 + 466 + 71 + 3 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126346671361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 994855617 + ... + 994855743.

Almost surely, 2^126346671360 is an apocalyptic number.

126346671360 is a gapful number since it is divisible by the number (10) 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 126346671360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276355602432).

126346671360 is an abundant number, since it is smaller than the sum of its proper divisors (426364533504).

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

126346671360 is a wasteful number, since it uses less digits than its factorization.

126346671360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 126346671360 in words is "one hundred twenty-six billion, three hundred forty-six million, six hundred seventy-one thousand, three hundred sixty".