126846240917760 has 1728 divisors, whose sum is σ = 593577315475200. Its totient is φ = 25354491789312.

The previous prime is 126846240917729. The next prime is 126846240917849. The reversal of 126846240917760 is 67719042648621.

126846240917760 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 462 + 40 + 9 + 1 + 77 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×126846240917760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 418128052 + ... + 418431308.

It is an arithmetic number, because the mean of its divisors is an integer number (343505390900).

Almost surely, 2^{126846240917760} is an apocalyptic number.

126846240917760 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 126846240917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296788657737600).

126846240917760 is an abundant number, since it is smaller than the sum of its proper divisors (466731074557440).

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

126846240917760 is a wasteful number, since it uses less digits than its factorization.

126846240917760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303333 (or 303306 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 126846240917760 in words is "one hundred twenty-six trillion, eight hundred forty-six billion, two hundred forty million, nine hundred seventeen thousand, seven hundred sixty".