126874193841408 has 864 divisors, whose sum is σ = 408629414366208. Its totient is φ = 34593991557120.

The previous prime is 126874193841347. The next prime is 126874193841497. The reversal of 126874193841408 is 804148391478621.

126874193841408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126874193841408² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6035007985 + ... + 6035029007.

It is an arithmetic number, because the mean of its divisors is an integer number (472950711072).

Almost surely, 2^{126874193841408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126874193841408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204314707183104).

126874193841408 is an abundant number, since it is smaller than the sum of its proper divisors (281755220524800).

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

126874193841408 is a wasteful number, since it uses less digits than its factorization.

126874193841408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21171 (or 21126 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 66.

The spelling of 126874193841408 in words is "one hundred twenty-six trillion, eight hundred seventy-four billion, one hundred ninety-three million, eight hundred forty-one thousand, four hundred eight".